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Finding the Fourth Proportional to 10,614.38, 14,648.13 and 6,366.12

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Solution

The fourth proportional to 10,614.38, 14,648.13 and 6,366.12 is: 8,785.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.38 : 14,648.13 = 6,366.12 : x
  2. Step 2: Convert to fraction form
    10,614.38/14,648.13 = 6,366.12/x
  3. Step 3: Cross multiply
    10,614.38x = 14,648.13 × 6,366.12
  4. Step 4: Simplify right side
    10,614.38x = 93,251,753.36
  5. Step 5: Solve for x
    x = 93,251,753.36/10,614.38
  6. Step 6: Final answer
    x = 8,785.42

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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.