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Finding the Fourth Proportional to 10,469.92, 14,447.95 and 5,753.29

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Solution

The fourth proportional to 10,469.92, 14,447.95 and 5,753.29 is: 7,939.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.92 : 14,447.95 = 5,753.29 : x
  2. Step 2: Convert to fraction form
    10,469.92/14,447.95 = 5,753.29/x
  3. Step 3: Cross multiply
    10,469.92x = 14,447.95 × 5,753.29
  4. Step 4: Simplify right side
    10,469.92x = 83,123,246.26
  5. Step 5: Solve for x
    x = 83,123,246.26/10,469.92
  6. Step 6: Final answer
    x = 7,939.24

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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.