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Finding the Fourth Proportional to 6,894.31, 10,335.27 and 2,508.69

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Solution

The fourth proportional to 6,894.31, 10,335.27 and 2,508.69 is: 3,760.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.31 : 10,335.27 = 2,508.69 : x
  2. Step 2: Convert to fraction form
    6,894.31/10,335.27 = 2,508.69/x
  3. Step 3: Cross multiply
    6,894.31x = 10,335.27 × 2,508.69
  4. Step 4: Simplify right side
    6,894.31x = 25,927,988.50
  5. Step 5: Solve for x
    x = 25,927,988.50/6,894.31
  6. Step 6: Final answer
    x = 3,760.78

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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.