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Finding the Fourth Proportional to 6,481.72, 9,732.30 and 3,711.52

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Solution

The fourth proportional to 6,481.72, 9,732.30 and 3,711.52 is: 5,572.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.72 : 9,732.30 = 3,711.52 : x
  2. Step 2: Convert to fraction form
    6,481.72/9,732.30 = 3,711.52/x
  3. Step 3: Cross multiply
    6,481.72x = 9,732.30 × 3,711.52
  4. Step 4: Simplify right side
    6,481.72x = 36,121,626.10
  5. Step 5: Solve for x
    x = 36,121,626.10/6,481.72
  6. Step 6: Final answer
    x = 5,572.85

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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.