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Finding the Fourth Proportional to 6,768.52, 10,154.38 and 2,151.52

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Solution

The fourth proportional to 6,768.52, 10,154.38 and 2,151.52 is: 3,227.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,768.52 : 10,154.38 = 2,151.52 : x
  2. Step 2: Convert to fraction form
    6,768.52/10,154.38 = 2,151.52/x
  3. Step 3: Cross multiply
    6,768.52x = 10,154.38 × 2,151.52
  4. Step 4: Simplify right side
    6,768.52x = 21,847,351.66
  5. Step 5: Solve for x
    x = 21,847,351.66/6,768.52
  6. Step 6: Final answer
    x = 3,227.79

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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.