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Finding the Fourth Proportional to 25,997.68, 38,996.32 and 6,276.16

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Solution

The fourth proportional to 25,997.68, 38,996.32 and 6,276.16 is: 9,414.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,997.68 : 38,996.32 = 6,276.16 : x
  2. Step 2: Convert to fraction form
    25,997.68/38,996.32 = 6,276.16/x
  3. Step 3: Cross multiply
    25,997.68x = 38,996.32 × 6,276.16
  4. Step 4: Simplify right side
    25,997.68x = 244,747,143.73
  5. Step 5: Solve for x
    x = 244,747,143.73/25,997.68
  6. Step 6: Final answer
    x = 9,414.19

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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.