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Use cross multiplication to solve proportion problems
Learn step-by-step with practice exercises built right in.
A proportion is an equation that states two ratios are equal:
Solve for :
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To solve proportions, use cross multiplication:
Example:
Substitute back to verify:
Solution:
Cross multiply:
Check: ✓ (both simplify to )
Answer:
If 3 pounds of apples cost \4.50$, how much do 7 pounds cost?
Solution:
Set up proportion:
Cross multiply:
Answer: \10.50$
On a map, 2 inches represents 50 miles. Two cities are 7 inches apart on the map. What is the actual distance between them?
Solution:
Set up proportion:
Cross multiply:
Answer: 175 miles