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Finding the Fourth Proportional to 25,387.53, 38,070.78 and 9,589.86

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Solution

The fourth proportional to 25,387.53, 38,070.78 and 9,589.86 is: 14,380.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,387.53 : 38,070.78 = 9,589.86 : x
  2. Step 2: Convert to fraction form
    25,387.53/38,070.78 = 9,589.86/x
  3. Step 3: Cross multiply
    25,387.53x = 38,070.78 × 9,589.86
  4. Step 4: Simplify right side
    25,387.53x = 365,093,414.33
  5. Step 5: Solve for x
    x = 365,093,414.33/25,387.53
  6. Step 6: Final answer
    x = 14,380.82

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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.