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Finding the Fourth Proportional to 8,191.27, 12,286.91 and 2,035.27

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Solution

The fourth proportional to 8,191.27, 12,286.91 and 2,035.27 is: 3,052.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.27 : 12,286.91 = 2,035.27 : x
  2. Step 2: Convert to fraction form
    8,191.27/12,286.91 = 2,035.27/x
  3. Step 3: Cross multiply
    8,191.27x = 12,286.91 × 2,035.27
  4. Step 4: Simplify right side
    8,191.27x = 25,007,119.20
  5. Step 5: Solve for x
    x = 25,007,119.20/8,191.27
  6. Step 6: Final answer
    x = 3,052.90

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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.