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""Which two ratios form a proportion?

A) 4 and 20
B) 4/2 and 20/5
C) 20 and 4
D) 20 and 4/25

Please select the option with the two ratios that form a proportion.""

User Nazin
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1 Answer

3 votes

Final answer:

Among the options provided, option B, with the ratios of 4/2 and 20/5, do not form a proportion as their simplified forms, 2 and 4, are not equal. However, using the concept of unit scale, we can set up a correct proportion example, such as 1/2 equaling 2/4, which simplifies to the same value, forming a true proportion.

Step-by-step explanation:

The question asks which two ratios form a proportion. A proportion occurs when two ratios are equivalent. If we look at option B, the ratios are 4/2 and 20/5. To determine if these form a proportion, we can simplify both ratios. The first ratio, 4/2, simplifies to 2. The second one, 20/5, simplifies to 4. Since these values are not equal, they do not form a proportion.

However, we can find a proportion if we adjust the concept presented as follows: 4/2 is simplified to 2, and 20/5 is simplified to 4. If we now use the unit scale concept where we compare a scale measurement to an actual measurement, we can create a proportion like the following example:

Scale Measurement / Actual Measurement = Scale Factor

In this case, the comparison would be:

1/2 = 2/4

As we can see, when the simplified form is 1/2, and we compare it to a 2/4 ratio which also simplifies to 1/2, they form a proportion because the ratios are equivalent.

User ChrisMe
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