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Finding the Fourth Proportional to 8,414.44, 11,609.22 and 4,687.72

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Solution

The fourth proportional to 8,414.44, 11,609.22 and 4,687.72 is: 6,467.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.44 : 11,609.22 = 4,687.72 : x
  2. Step 2: Convert to fraction form
    8,414.44/11,609.22 = 4,687.72/x
  3. Step 3: Cross multiply
    8,414.44x = 11,609.22 × 4,687.72
  4. Step 4: Simplify right side
    8,414.44x = 54,420,772.78
  5. Step 5: Solve for x
    x = 54,420,772.78/8,414.44
  6. Step 6: Final answer
    x = 6,467.55

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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.