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Finding the Fourth Proportional to 16,516.86, 22,793.16 and 8,963

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Solution

The fourth proportional to 16,516.86, 22,793.16 and 8,963 is: 12,368.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,516.86 : 22,793.16 = 8,963 : x
  2. Step 2: Convert to fraction form
    16,516.86/22,793.16 = 8,963/x
  3. Step 3: Cross multiply
    16,516.86x = 22,793.16 × 8,963
  4. Step 4: Simplify right side
    16,516.86x = 204,295,093.08
  5. Step 5: Solve for x
    x = 204,295,093.08/16,516.86
  6. Step 6: Final answer
    x = 12,368.88

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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.