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Finding the Fourth Proportional to 6,729.75, 10,100.75 and 3,445.11

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Solution

The fourth proportional to 6,729.75, 10,100.75 and 3,445.11 is: 5,170.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.75 : 10,100.75 = 3,445.11 : x
  2. Step 2: Convert to fraction form
    6,729.75/10,100.75 = 3,445.11/x
  3. Step 3: Cross multiply
    6,729.75x = 10,100.75 × 3,445.11
  4. Step 4: Simplify right side
    6,729.75x = 34,798,177.61
  5. Step 5: Solve for x
    x = 34,798,177.61/6,729.75
  6. Step 6: Final answer
    x = 5,170.80

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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.