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Finding the Fourth Proportional to 9,753.76, 14,614.17 and 7,687.18

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Solution

The fourth proportional to 9,753.76, 14,614.17 and 7,687.18 is: 11,517.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753.76 : 14,614.17 = 7,687.18 : x
  2. Step 2: Convert to fraction form
    9,753.76/14,614.17 = 7,687.18/x
  3. Step 3: Cross multiply
    9,753.76x = 14,614.17 × 7,687.18
  4. Step 4: Simplify right side
    9,753.76x = 112,341,755.34
  5. Step 5: Solve for x
    x = 112,341,755.34/9,753.76
  6. Step 6: Final answer
    x = 11,517.79

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1.5x scale

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.