Generate and justify equivalent ratios using scaling, tables, and diagrams.
Complete an equivalent ratio pair
Problem
Complete the equivalent ratios: \(4:7~=~12:~\text{\_\_}\). What number goes in the blank?
Big Picture
What this problem is really about
The first terms correspond to each other, and the second terms correspond to each other, so one scale factor must connect both pairs. We’ll divide the new first term by the original first term, apply that factor to seven, and place the product in the blank. Dividing the completed pair by the same factor will check equivalence.
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