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Finding the Fourth Proportional to 19,572.27, 29,359.89 and 9,701.61

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Solution

The fourth proportional to 19,572.27, 29,359.89 and 9,701.61 is: 14,553.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,572.27 : 29,359.89 = 9,701.61 : x
  2. Step 2: Convert to fraction form
    19,572.27/29,359.89 = 9,701.61/x
  3. Step 3: Cross multiply
    19,572.27x = 29,359.89 × 9,701.61
  4. Step 4: Simplify right side
    19,572.27x = 284,838,202.42
  5. Step 5: Solve for x
    x = 284,838,202.42/19,572.27
  6. Step 6: Final answer
    x = 14,553.15

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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.