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Finding the Fourth Proportional to 7,470.88, 11,216.24 and 6,382.24

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Solution

The fourth proportional to 7,470.88, 11,216.24 and 6,382.24 is: 9,581.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470.88 : 11,216.24 = 6,382.24 : x
  2. Step 2: Convert to fraction form
    7,470.88/11,216.24 = 6,382.24/x
  3. Step 3: Cross multiply
    7,470.88x = 11,216.24 × 6,382.24
  4. Step 4: Simplify right side
    7,470.88x = 71,584,735.58
  5. Step 5: Solve for x
    x = 71,584,735.58/7,470.88
  6. Step 6: Final answer
    x = 9,581.83

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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.