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Finding the Fourth Proportional to 8,151.60, 12,229.60 and 3,471.84

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Solution

The fourth proportional to 8,151.60, 12,229.60 and 3,471.84 is: 5,208.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.60 : 12,229.60 = 3,471.84 : x
  2. Step 2: Convert to fraction form
    8,151.60/12,229.60 = 3,471.84/x
  3. Step 3: Cross multiply
    8,151.60x = 12,229.60 × 3,471.84
  4. Step 4: Simplify right side
    8,151.60x = 42,459,214.46
  5. Step 5: Solve for x
    x = 42,459,214.46/8,151.60
  6. Step 6: Final answer
    x = 5,208.70

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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.