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Finding the Fourth Proportional to 6,734.16, 10,102.08 and 2,354.16

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Solution

The fourth proportional to 6,734.16, 10,102.08 and 2,354.16 is: 3,531.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734.16 : 10,102.08 = 2,354.16 : x
  2. Step 2: Convert to fraction form
    6,734.16/10,102.08 = 2,354.16/x
  3. Step 3: Cross multiply
    6,734.16x = 10,102.08 × 2,354.16
  4. Step 4: Simplify right side
    6,734.16x = 23,781,912.65
  5. Step 5: Solve for x
    x = 23,781,912.65/6,734.16
  6. Step 6: Final answer
    x = 3,531.53

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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.