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Finding the Fourth Proportional to 8,166.57, 12,245.22 and 7,469.97

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Solution

The fourth proportional to 8,166.57, 12,245.22 and 7,469.97 is: 11,200.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166.57 : 12,245.22 = 7,469.97 : x
  2. Step 2: Convert to fraction form
    8,166.57/12,245.22 = 7,469.97/x
  3. Step 3: Cross multiply
    8,166.57x = 12,245.22 × 7,469.97
  4. Step 4: Simplify right side
    8,166.57x = 91,471,426.04
  5. Step 5: Solve for x
    x = 91,471,426.04/8,166.57
  6. Step 6: Final answer
    x = 11,200.72

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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.