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Finding the Fourth Proportional to 6,251.92, 9,367.80 and 5,382.16

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Solution

The fourth proportional to 6,251.92, 9,367.80 and 5,382.16 is: 8,064.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,251.92 : 9,367.80 = 5,382.16 : x
  2. Step 2: Convert to fraction form
    6,251.92/9,367.80 = 5,382.16/x
  3. Step 3: Cross multiply
    6,251.92x = 9,367.80 × 5,382.16
  4. Step 4: Simplify right side
    6,251.92x = 50,418,998.45
  5. Step 5: Solve for x
    x = 50,418,998.45/6,251.92
  6. Step 6: Final answer
    x = 8,064.56

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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.