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Finding the Fourth Proportional to 11,614.56, 17,404.92 and 8,691.36

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Solution

The fourth proportional to 11,614.56, 17,404.92 and 8,691.36 is: 13,024.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.56 : 17,404.92 = 8,691.36 : x
  2. Step 2: Convert to fraction form
    11,614.56/17,404.92 = 8,691.36/x
  3. Step 3: Cross multiply
    11,614.56x = 17,404.92 × 8,691.36
  4. Step 4: Simplify right side
    11,614.56x = 151,272,425.49
  5. Step 5: Solve for x
    x = 151,272,425.49/11,614.56
  6. Step 6: Final answer
    x = 13,024.38

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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.