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Finding the Fourth Proportional to 8,462.71, 11,672.60 and 5,906.20

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Solution

The fourth proportional to 8,462.71, 11,672.60 and 5,906.20 is: 8,146.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.71 : 11,672.60 = 5,906.20 : x
  2. Step 2: Convert to fraction form
    8,462.71/11,672.60 = 5,906.20/x
  3. Step 3: Cross multiply
    8,462.71x = 11,672.60 × 5,906.20
  4. Step 4: Simplify right side
    8,462.71x = 68,940,710.12
  5. Step 5: Solve for x
    x = 68,940,710.12/8,462.71
  6. Step 6: Final answer
    x = 8,146.41

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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.