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Finding the Fourth Proportional to 7,160.75, 10,713.17 and 6,329.69

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Solution

The fourth proportional to 7,160.75, 10,713.17 and 6,329.69 is: 9,469.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.75 : 10,713.17 = 6,329.69 : x
  2. Step 2: Convert to fraction form
    7,160.75/10,713.17 = 6,329.69/x
  3. Step 3: Cross multiply
    7,160.75x = 10,713.17 × 6,329.69
  4. Step 4: Simplify right side
    7,160.75x = 67,811,007.28
  5. Step 5: Solve for x
    x = 67,811,007.28/7,160.75
  6. Step 6: Final answer
    x = 9,469.83

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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.