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Finding the Fourth Proportional to 6,729.72, 10,096.20 and 2,112.72

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Solution

The fourth proportional to 6,729.72, 10,096.20 and 2,112.72 is: 3,169.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.72 : 10,096.20 = 2,112.72 : x
  2. Step 2: Convert to fraction form
    6,729.72/10,096.20 = 2,112.72/x
  3. Step 3: Cross multiply
    6,729.72x = 10,096.20 × 2,112.72
  4. Step 4: Simplify right side
    6,729.72x = 21,330,443.66
  5. Step 5: Solve for x
    x = 21,330,443.66/6,729.72
  6. Step 6: Final answer
    x = 3,169.59

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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.