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Finding the Fourth Proportional to 6,676.78, 10,013.12 and 2,293.24

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Solution

The fourth proportional to 6,676.78, 10,013.12 and 2,293.24 is: 3,439.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,676.78 : 10,013.12 = 2,293.24 : x
  2. Step 2: Convert to fraction form
    6,676.78/10,013.12 = 2,293.24/x
  3. Step 3: Cross multiply
    6,676.78x = 10,013.12 × 2,293.24
  4. Step 4: Simplify right side
    6,676.78x = 22,962,487.31
  5. Step 5: Solve for x
    x = 22,962,487.31/6,676.78
  6. Step 6: Final answer
    x = 3,439.16

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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.