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Finding the Fourth Proportional to 6,738.78, 10,101.79 and 2,353.39

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Solution

The fourth proportional to 6,738.78, 10,101.79 and 2,353.39 is: 3,527.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.78 : 10,101.79 = 2,353.39 : x
  2. Step 2: Convert to fraction form
    6,738.78/10,101.79 = 2,353.39/x
  3. Step 3: Cross multiply
    6,738.78x = 10,101.79 × 2,353.39
  4. Step 4: Simplify right side
    6,738.78x = 23,773,451.57
  5. Step 5: Solve for x
    x = 23,773,451.57/6,738.78
  6. Step 6: Final answer
    x = 3,527.86

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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.