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Finding the Fourth Proportional to 6,738.54, 10,103.22 and 3,448.95

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Solution

The fourth proportional to 6,738.54, 10,103.22 and 3,448.95 is: 5,171.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.54 : 10,103.22 = 3,448.95 : x
  2. Step 2: Convert to fraction form
    6,738.54/10,103.22 = 3,448.95/x
  3. Step 3: Cross multiply
    6,738.54x = 10,103.22 × 3,448.95
  4. Step 4: Simplify right side
    6,738.54x = 34,845,500.62
  5. Step 5: Solve for x
    x = 34,845,500.62/6,738.54
  6. Step 6: Final answer
    x = 5,171.08

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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.