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Finding the Fourth Proportional to 7,162.97, 10,744.97 and 2,998.78

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Solution

The fourth proportional to 7,162.97, 10,744.97 and 2,998.78 is: 4,498.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.97 : 10,744.97 = 2,998.78 : x
  2. Step 2: Convert to fraction form
    7,162.97/10,744.97 = 2,998.78/x
  3. Step 3: Cross multiply
    7,162.97x = 10,744.97 × 2,998.78
  4. Step 4: Simplify right side
    7,162.97x = 32,221,759.28
  5. Step 5: Solve for x
    x = 32,221,759.28/7,162.97
  6. Step 6: Final answer
    x = 4,498.38

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Double scale
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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.