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Finding the Fourth Proportional to 6,382.88, 9,568.56 and 2,277.92

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Solution

The fourth proportional to 6,382.88, 9,568.56 and 2,277.92 is: 3,414.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.88 : 9,568.56 = 2,277.92 : x
  2. Step 2: Convert to fraction form
    6,382.88/9,568.56 = 2,277.92/x
  3. Step 3: Cross multiply
    6,382.88x = 9,568.56 × 2,277.92
  4. Step 4: Simplify right side
    6,382.88x = 21,796,414.20
  5. Step 5: Solve for x
    x = 21,796,414.20/6,382.88
  6. Step 6: Final answer
    x = 3,414.82

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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.