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Finding the Fourth Proportional to 6,876.38, 9,489.20 and 3,732.56

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Solution

The fourth proportional to 6,876.38, 9,489.20 and 3,732.56 is: 5,150.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.38 : 9,489.20 = 3,732.56 : x
  2. Step 2: Convert to fraction form
    6,876.38/9,489.20 = 3,732.56/x
  3. Step 3: Cross multiply
    6,876.38x = 9,489.20 × 3,732.56
  4. Step 4: Simplify right side
    6,876.38x = 35,419,013.41
  5. Step 5: Solve for x
    x = 35,419,013.41/6,876.38
  6. Step 6: Final answer
    x = 5,150.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.