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Finding the Fourth Proportional to 7,167.72, 9,891.51 and 4,142.61

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Solution

The fourth proportional to 7,167.72, 9,891.51 and 4,142.61 is: 5,716.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167.72 : 9,891.51 = 4,142.61 : x
  2. Step 2: Convert to fraction form
    7,167.72/9,891.51 = 4,142.61/x
  3. Step 3: Cross multiply
    7,167.72x = 9,891.51 × 4,142.61
  4. Step 4: Simplify right side
    7,167.72x = 40,976,668.24
  5. Step 5: Solve for x
    x = 40,976,668.24/7,167.72
  6. Step 6: Final answer
    x = 5,716.83

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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.