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Finding the Fourth Proportional to 6,729.92, 10,096.95 and 3,445.32

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Solution

The fourth proportional to 6,729.92, 10,096.95 and 3,445.32 is: 5,169.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.92 : 10,096.95 = 3,445.32 : x
  2. Step 2: Convert to fraction form
    6,729.92/10,096.95 = 3,445.32/x
  3. Step 3: Cross multiply
    6,729.92x = 10,096.95 × 3,445.32
  4. Step 4: Simplify right side
    6,729.92x = 34,787,211.00
  5. Step 5: Solve for x
    x = 34,787,211.00/6,729.92
  6. Step 6: Final answer
    x = 5,169.04

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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.