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Finding the Fourth Proportional to 6,341, 9,512.28 and 2,831

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Solution

The fourth proportional to 6,341, 9,512.28 and 2,831 is: 4,246.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341 : 9,512.28 = 2,831 : x
  2. Step 2: Convert to fraction form
    6,341/9,512.28 = 2,831/x
  3. Step 3: Cross multiply
    6,341x = 9,512.28 × 2,831
  4. Step 4: Simplify right side
    6,341x = 26,929,264.68
  5. Step 5: Solve for x
    x = 26,929,264.68/6,341
  6. Step 6: Final answer
    x = 4,246.85

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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.