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Finding the Fourth Proportional to 6,340.79, 9,512.00 and 2,446.31

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Solution

The fourth proportional to 6,340.79, 9,512.00 and 2,446.31 is: 3,669.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.79 : 9,512.00 = 2,446.31 : x
  2. Step 2: Convert to fraction form
    6,340.79/9,512.00 = 2,446.31/x
  3. Step 3: Cross multiply
    6,340.79x = 9,512.00 × 2,446.31
  4. Step 4: Simplify right side
    6,340.79x = 23,269,288.49
  5. Step 5: Solve for x
    x = 23,269,288.49/6,340.79
  6. Step 6: Final answer
    x = 3,669.78

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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.