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Finding the Fourth Proportional to 6,292.44, 9,439.98 and 2,132.22

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Solution

The fourth proportional to 6,292.44, 9,439.98 and 2,132.22 is: 3,198.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.44 : 9,439.98 = 2,132.22 : x
  2. Step 2: Convert to fraction form
    6,292.44/9,439.98 = 2,132.22/x
  3. Step 3: Cross multiply
    6,292.44x = 9,439.98 × 2,132.22
  4. Step 4: Simplify right side
    6,292.44x = 20,128,114.16
  5. Step 5: Solve for x
    x = 20,128,114.16/6,292.44
  6. Step 6: Final answer
    x = 3,198.78

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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.