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Question
- tyler made a scale model of earth in science class. the scale that maps the scale model to the actual earth is 1 inch to 1,070 miles. if the height in the scale model is 7.4 inches, what is the actual height of earth?
Step1: Identify the scale - factor relationship
The scale is 1 inch to 1070 miles. Let $x$ be the actual height. We set up a proportion.
$\frac{1}{1070}=\frac{7.4}{x}$
Step2: Cross - multiply
$1\times x = 1070\times7.4$
$x=1070\times7.4$
Step3: Calculate the value of $x$
$x = 7918$
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7918 miles