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Finding the Fourth Proportional to 16,517.28, 22,794 and 8,963.60

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Solution

The fourth proportional to 16,517.28, 22,794 and 8,963.60 is: 12,369.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,517.28 : 22,794 = 8,963.60 : x
  2. Step 2: Convert to fraction form
    16,517.28/22,794 = 8,963.60/x
  3. Step 3: Cross multiply
    16,517.28x = 22,794 × 8,963.60
  4. Step 4: Simplify right side
    16,517.28x = 204,316,298.40
  5. Step 5: Solve for x
    x = 204,316,298.40/16,517.28
  6. Step 6: Final answer
    x = 12,369.85

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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.