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Finding the Fourth Proportional to 16,591.97, 22,896.92 and 9,139.97

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Solution

The fourth proportional to 16,591.97, 22,896.92 and 9,139.97 is: 12,613.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,591.97 : 22,896.92 = 9,139.97 : x
  2. Step 2: Convert to fraction form
    16,591.97/22,896.92 = 9,139.97/x
  3. Step 3: Cross multiply
    16,591.97x = 22,896.92 × 9,139.97
  4. Step 4: Simplify right side
    16,591.97x = 209,277,161.89
  5. Step 5: Solve for x
    x = 209,277,161.89/16,591.97
  6. Step 6: Final answer
    x = 12,613.16

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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.