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Finding the Fourth Proportional to 6,283.46, 9,422.46 and 3,161.52

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Solution

The fourth proportional to 6,283.46, 9,422.46 and 3,161.52 is: 4,740.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283.46 : 9,422.46 = 3,161.52 : x
  2. Step 2: Convert to fraction form
    6,283.46/9,422.46 = 3,161.52/x
  3. Step 3: Cross multiply
    6,283.46x = 9,422.46 × 3,161.52
  4. Step 4: Simplify right side
    6,283.46x = 29,789,295.74
  5. Step 5: Solve for x
    x = 29,789,295.74/6,283.46
  6. Step 6: Final answer
    x = 4,740.90

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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.