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Finding the Fourth Proportional to 16,600.65, 22,906.31 and 9,525.71

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Solution

The fourth proportional to 16,600.65, 22,906.31 and 9,525.71 is: 13,143.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,600.65 : 22,906.31 = 9,525.71 : x
  2. Step 2: Convert to fraction form
    16,600.65/22,906.31 = 9,525.71/x
  3. Step 3: Cross multiply
    16,600.65x = 22,906.31 × 9,525.71
  4. Step 4: Simplify right side
    16,600.65x = 218,198,704.07
  5. Step 5: Solve for x
    x = 218,198,704.07/16,600.65
  6. Step 6: Final answer
    x = 13,143.99

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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.