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Finding the Fourth Proportional to 6,934, 10,397.76 and 2,313.76

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Solution

The fourth proportional to 6,934, 10,397.76 and 2,313.76 is: 3,469.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934 : 10,397.76 = 2,313.76 : x
  2. Step 2: Convert to fraction form
    6,934/10,397.76 = 2,313.76/x
  3. Step 3: Cross multiply
    6,934x = 10,397.76 × 2,313.76
  4. Step 4: Simplify right side
    6,934x = 24,057,921.18
  5. Step 5: Solve for x
    x = 24,057,921.18/6,934
  6. Step 6: Final answer
    x = 3,469.56

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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.