Finding the Fourth Proportional to 10,207.50, 15,311.25 and 3,282
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Solution
The fourth proportional to 10,207.50, 15,311.25 and 3,282 is: 4,923
Step by Step Solution
- Step 1: Write the proportion equation
10,207.50 : 15,311.25 = 3,282 : x - Step 2: Convert to fraction form
10,207.50/15,311.25 = 3,282/x - Step 3: Cross multiply
10,207.50x = 15,311.25 × 3,282 - Step 4: Simplify right side
10,207.50x = 50,251,522.50 - Step 5: Solve for x
x = 50,251,522.50/10,207.50 - Step 6: Final answer
x = 4,923
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.