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Finding the Fourth Proportional to 7,151.92, 9,870.17 and 3,965.38

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Solution

The fourth proportional to 7,151.92, 9,870.17 and 3,965.38 is: 5,472.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.92 : 9,870.17 = 3,965.38 : x
  2. Step 2: Convert to fraction form
    7,151.92/9,870.17 = 3,965.38/x
  3. Step 3: Cross multiply
    7,151.92x = 9,870.17 × 3,965.38
  4. Step 4: Simplify right side
    7,151.92x = 39,138,930.21
  5. Step 5: Solve for x
    x = 39,138,930.21/7,151.92
  6. Step 6: Final answer
    x = 5,472.51

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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.