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Finding the Fourth Proportional to 8,380.96, 12,571.42 and 2,140.97

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Solution

The fourth proportional to 8,380.96, 12,571.42 and 2,140.97 is: 3,211.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.96 : 12,571.42 = 2,140.97 : x
  2. Step 2: Convert to fraction form
    8,380.96/12,571.42 = 2,140.97/x
  3. Step 3: Cross multiply
    8,380.96x = 12,571.42 × 2,140.97
  4. Step 4: Simplify right side
    8,380.96x = 26,915,033.08
  5. Step 5: Solve for x
    x = 26,915,033.08/8,380.96
  6. Step 6: Final answer
    x = 3,211.45

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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.