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Finding the Fourth Proportional to 9,625, 13,251.62 and 8,382.46

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Solution

The fourth proportional to 9,625, 13,251.62 and 8,382.46 is: 11,540.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,625 : 13,251.62 = 8,382.46 : x
  2. Step 2: Convert to fraction form
    9,625/13,251.62 = 8,382.46/x
  3. Step 3: Cross multiply
    9,625x = 13,251.62 × 8,382.46
  4. Step 4: Simplify right side
    9,625x = 111,081,174.59
  5. Step 5: Solve for x
    x = 111,081,174.59/9,625
  6. Step 6: Final answer
    x = 11,540.90

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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.