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Finding the Fourth Proportional to 7,414.66, 11,121.66 and 2,149.56

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Solution

The fourth proportional to 7,414.66, 11,121.66 and 2,149.56 is: 3,224.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,414.66 : 11,121.66 = 2,149.56 : x
  2. Step 2: Convert to fraction form
    7,414.66/11,121.66 = 2,149.56/x
  3. Step 3: Cross multiply
    7,414.66x = 11,121.66 × 2,149.56
  4. Step 4: Simplify right side
    7,414.66x = 23,906,641.82
  5. Step 5: Solve for x
    x = 23,906,641.82/7,414.66
  6. Step 6: Final answer
    x = 3,224.24

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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.