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Finding the Fourth Proportional to 13,471.92, 18,591.48 and 8,166.96

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Solution

The fourth proportional to 13,471.92, 18,591.48 and 8,166.96 is: 11,270.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471.92 : 18,591.48 = 8,166.96 : x
  2. Step 2: Convert to fraction form
    13,471.92/18,591.48 = 8,166.96/x
  3. Step 3: Cross multiply
    13,471.92x = 18,591.48 × 8,166.96
  4. Step 4: Simplify right side
    13,471.92x = 151,835,873.50
  5. Step 5: Solve for x
    x = 151,835,873.50/13,471.92
  6. Step 6: Final answer
    x = 11,270.54

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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.