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Finding the Fourth Proportional to 16,545.86, 22,832.09 and 9,375.92

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Solution

The fourth proportional to 16,545.86, 22,832.09 and 9,375.92 is: 12,938.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,545.86 : 22,832.09 = 9,375.92 : x
  2. Step 2: Convert to fraction form
    16,545.86/22,832.09 = 9,375.92/x
  3. Step 3: Cross multiply
    16,545.86x = 22,832.09 × 9,375.92
  4. Step 4: Simplify right side
    16,545.86x = 214,071,688.23
  5. Step 5: Solve for x
    x = 214,071,688.23/16,545.86
  6. Step 6: Final answer
    x = 12,938.09

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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.