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Finding the Fourth Proportional to 8,170.71, 12,256.08 and 2,327.31

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Solution

The fourth proportional to 8,170.71, 12,256.08 and 2,327.31 is: 3,490.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,170.71 : 12,256.08 = 2,327.31 : x
  2. Step 2: Convert to fraction form
    8,170.71/12,256.08 = 2,327.31/x
  3. Step 3: Cross multiply
    8,170.71x = 12,256.08 × 2,327.31
  4. Step 4: Simplify right side
    8,170.71x = 28,523,697.54
  5. Step 5: Solve for x
    x = 28,523,697.54/8,170.71
  6. Step 6: Final answer
    x = 3,490.97

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Similar ratio
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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.