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Finding the Fourth Proportional to 9,793.09, 13,517.31 and 5,966.11

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Solution

The fourth proportional to 9,793.09, 13,517.31 and 5,966.11 is: 8,234.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.09 : 13,517.31 = 5,966.11 : x
  2. Step 2: Convert to fraction form
    9,793.09/13,517.31 = 5,966.11/x
  3. Step 3: Cross multiply
    9,793.09x = 13,517.31 × 5,966.11
  4. Step 4: Simplify right side
    9,793.09x = 80,645,758.36
  5. Step 5: Solve for x
    x = 80,645,758.36/9,793.09
  6. Step 6: Final answer
    x = 8,234.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.