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Finding the Fourth Proportional to 16,591.66, 22,896.36 and 9,037.98

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Solution

The fourth proportional to 16,591.66, 22,896.36 and 9,037.98 is: 12,472.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,591.66 : 22,896.36 = 9,037.98 : x
  2. Step 2: Convert to fraction form
    16,591.66/22,896.36 = 9,037.98/x
  3. Step 3: Cross multiply
    16,591.66x = 22,896.36 × 9,037.98
  4. Step 4: Simplify right side
    16,591.66x = 206,936,843.75
  5. Step 5: Solve for x
    x = 206,936,843.75/16,591.66
  6. Step 6: Final answer
    x = 12,472.34

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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.