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Finding the Fourth Proportional to 6,729.60, 10,086.48 and 3,027.48

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Solution

The fourth proportional to 6,729.60, 10,086.48 and 3,027.48 is: 4,537.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.60 : 10,086.48 = 3,027.48 : x
  2. Step 2: Convert to fraction form
    6,729.60/10,086.48 = 3,027.48/x
  3. Step 3: Cross multiply
    6,729.60x = 10,086.48 × 3,027.48
  4. Step 4: Simplify right side
    6,729.60x = 30,536,616.47
  5. Step 5: Solve for x
    x = 30,536,616.47/6,729.60
  6. Step 6: Final answer
    x = 4,537.66

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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.