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Finding the Fourth Proportional to 7,175.38, 9,902.14 and 3,945.33

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Solution

The fourth proportional to 7,175.38, 9,902.14 and 3,945.33 is: 5,444.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.38 : 9,902.14 = 3,945.33 : x
  2. Step 2: Convert to fraction form
    7,175.38/9,902.14 = 3,945.33/x
  3. Step 3: Cross multiply
    7,175.38x = 9,902.14 × 3,945.33
  4. Step 4: Simplify right side
    7,175.38x = 39,067,234.76
  5. Step 5: Solve for x
    x = 39,067,234.76/7,175.38
  6. Step 6: Final answer
    x = 5,444.62

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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.