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Finding the Fourth Proportional to 8,449.64, 11,657.66 and 5,469.24

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Solution

The fourth proportional to 8,449.64, 11,657.66 and 5,469.24 is: 7,545.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.64 : 11,657.66 = 5,469.24 : x
  2. Step 2: Convert to fraction form
    8,449.64/11,657.66 = 5,469.24/x
  3. Step 3: Cross multiply
    8,449.64x = 11,657.66 × 5,469.24
  4. Step 4: Simplify right side
    8,449.64x = 63,758,540.38
  5. Step 5: Solve for x
    x = 63,758,540.38/8,449.64
  6. Step 6: Final answer
    x = 7,545.71

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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.