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Finding the Fourth Proportional to 25,478.44, 38,207.96 and 9,892.44

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Solution

The fourth proportional to 25,478.44, 38,207.96 and 9,892.44 is: 14,834.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,478.44 : 38,207.96 = 9,892.44 : x
  2. Step 2: Convert to fraction form
    25,478.44/38,207.96 = 9,892.44/x
  3. Step 3: Cross multiply
    25,478.44x = 38,207.96 × 9,892.44
  4. Step 4: Simplify right side
    25,478.44x = 377,969,951.82
  5. Step 5: Solve for x
    x = 377,969,951.82/25,478.44
  6. Step 6: Final answer
    x = 14,834.89

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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.