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Finding the Fourth Proportional to 25,591.97, 38,393.57 and 7,824.11

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Solution

The fourth proportional to 25,591.97, 38,393.57 and 7,824.11 is: 11,737.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,591.97 : 38,393.57 = 7,824.11 : x
  2. Step 2: Convert to fraction form
    25,591.97/38,393.57 = 7,824.11/x
  3. Step 3: Cross multiply
    25,591.97x = 38,393.57 × 7,824.11
  4. Step 4: Simplify right side
    25,591.97x = 300,395,342.57
  5. Step 5: Solve for x
    x = 300,395,342.57/25,591.97
  6. Step 6: Final answer
    x = 11,737.87

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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.