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Finding the Fourth Proportional to 6,310.97, 9,472.30 and 3,193.19

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Solution

The fourth proportional to 6,310.97, 9,472.30 and 3,193.19 is: 4,792.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310.97 : 9,472.30 = 3,193.19 : x
  2. Step 2: Convert to fraction form
    6,310.97/9,472.30 = 3,193.19/x
  3. Step 3: Cross multiply
    6,310.97x = 9,472.30 × 3,193.19
  4. Step 4: Simplify right side
    6,310.97x = 30,246,806.28
  5. Step 5: Solve for x
    x = 30,246,806.28/6,310.97
  6. Step 6: Final answer
    x = 4,792.73

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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.