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Finding the Fourth Proportional to 11,657.87, 17,472.18 and 9,182.92

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Solution

The fourth proportional to 11,657.87, 17,472.18 and 9,182.92 is: 13,762.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.87 : 17,472.18 = 9,182.92 : x
  2. Step 2: Convert to fraction form
    11,657.87/17,472.18 = 9,182.92/x
  3. Step 3: Cross multiply
    11,657.87x = 17,472.18 × 9,182.92
  4. Step 4: Simplify right side
    11,657.87x = 160,445,553.05
  5. Step 5: Solve for x
    x = 160,445,553.05/11,657.87
  6. Step 6: Final answer
    x = 13,762.85

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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.