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Can you please help me with this and a couple other questions

Can you please help me with this and a couple other questions-example-1

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The two ratios we have are:


(2)/(7)\text{ and }(4)/(21)

2/7 is a ratio, and 4/21 is another ratio.

To verify if there is a proportion we need to know if the two ratios are equivalent.

The rule we will follow to verify if they form a proportion is:

if the numerator and denominator of the numerator multiplied by the same number, result in the second ratio, there is a proportion.

The numerator are 2 and 4, so to get the second number from the first one, we have to multiply by 2:

And now we compare the denominators: to go from 7 to a 21, we have to multiply by 3:

Since we don't multiply by the same number, there is not a proportion.

Another way to find the same result is to cross multiply the numbers in the ratios, and if we get the same number, there is a proportion, if not, there is not a proportion:

We check the result is not the same number, thus, there is not a proportion,

Answer: False

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