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Finding the Fourth Proportional to 10,067.87, 13,894.11 and 5,591.63

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Solution

The fourth proportional to 10,067.87, 13,894.11 and 5,591.63 is: 7,716.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,067.87 : 13,894.11 = 5,591.63 : x
  2. Step 2: Convert to fraction form
    10,067.87/13,894.11 = 5,591.63/x
  3. Step 3: Cross multiply
    10,067.87x = 13,894.11 × 5,591.63
  4. Step 4: Simplify right side
    10,067.87x = 77,690,757.03
  5. Step 5: Solve for x
    x = 77,690,757.03/10,067.87
  6. Step 6: Final answer
    x = 7,716.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.