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Finding the Fourth Proportional to 6,191.57, 9,282.83 and 3,972.92

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Solution

The fourth proportional to 6,191.57, 9,282.83 and 3,972.92 is: 5,956.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.57 : 9,282.83 = 3,972.92 : x
  2. Step 2: Convert to fraction form
    6,191.57/9,282.83 = 3,972.92/x
  3. Step 3: Cross multiply
    6,191.57x = 9,282.83 × 3,972.92
  4. Step 4: Simplify right side
    6,191.57x = 36,879,874.68
  5. Step 5: Solve for x
    x = 36,879,874.68/6,191.57
  6. Step 6: Final answer
    x = 5,956.46

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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.