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Finding the Fourth Proportional to 6,251.68, 9,382.13 and 2,964.78

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Solution

The fourth proportional to 6,251.68, 9,382.13 and 2,964.78 is: 4,449.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,251.68 : 9,382.13 = 2,964.78 : x
  2. Step 2: Convert to fraction form
    6,251.68/9,382.13 = 2,964.78/x
  3. Step 3: Cross multiply
    6,251.68x = 9,382.13 × 2,964.78
  4. Step 4: Simplify right side
    6,251.68x = 27,815,936.56
  5. Step 5: Solve for x
    x = 27,815,936.56/6,251.68
  6. Step 6: Final answer
    x = 4,449.36

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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.