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Translate and solve using proportions: 32?

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Final answer:

The question appears incomplete, which prevents providing an exact answer involving proportions. However, the concept can be explained by setting up a proportion with a given scale factor and scale measurement to find the actual dimension, similar to the included examples.

Step-by-step explanation:

The question seems to be incomplete as it lacks the necessary information to provide an answer about translating and solving using proportions. However, I can explain the concept using a complete example:

Let's assume we want to find the missing actual dimension when the scale factor is 1/4":4', and the scale measurement is 12'. To solve this, we first set up a proportion comparing the scale factor to the actual dimensions. This is similar to what is shown in the provided examples such as:

  • Example 4.8.4.4, which defines the scale factor and uses it to find an actual dimension.

For a scale factor of 1/4":4', we can say that 1/4" on the model corresponds to 4' in real life. Therefore, if our scale model is 12', we write the proportion as 1/4"/4' = x/12'. After setting up this proportion, we can cross-multiply and solve for the missing value x, which would give us the actual dimension.

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