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Finding the Fourth Proportional to 6,245.32, 9,369.68 and 2,734.68

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Solution

The fourth proportional to 6,245.32, 9,369.68 and 2,734.68 is: 4,102.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,245.32 : 9,369.68 = 2,734.68 : x
  2. Step 2: Convert to fraction form
    6,245.32/9,369.68 = 2,734.68/x
  3. Step 3: Cross multiply
    6,245.32x = 9,369.68 × 2,734.68
  4. Step 4: Simplify right side
    6,245.32x = 25,623,076.50
  5. Step 5: Solve for x
    x = 25,623,076.50/6,245.32
  6. Step 6: Final answer
    x = 4,102.76

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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.