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Finding the Fourth Proportional to 16,591.74, 22,896.15 and 9,139.74

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Solution

The fourth proportional to 16,591.74, 22,896.15 and 9,139.74 is: 12,612.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,591.74 : 22,896.15 = 9,139.74 : x
  2. Step 2: Convert to fraction form
    16,591.74/22,896.15 = 9,139.74/x
  3. Step 3: Cross multiply
    16,591.74x = 22,896.15 × 9,139.74
  4. Step 4: Simplify right side
    16,591.74x = 209,264,858.00
  5. Step 5: Solve for x
    x = 209,264,858.00/16,591.74
  6. Step 6: Final answer
    x = 12,612.59

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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.