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Finding the Fourth Proportional to 13,934.62, 20,909.10 and 9,257.86

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Solution

The fourth proportional to 13,934.62, 20,909.10 and 9,257.86 is: 13,891.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,934.62 : 20,909.10 = 9,257.86 : x
  2. Step 2: Convert to fraction form
    13,934.62/20,909.10 = 9,257.86/x
  3. Step 3: Cross multiply
    13,934.62x = 20,909.10 × 9,257.86
  4. Step 4: Simplify right side
    13,934.62x = 193,573,520.53
  5. Step 5: Solve for x
    x = 193,573,520.53/13,934.62
  6. Step 6: Final answer
    x = 13,891.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.