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Finding the Fourth Proportional to 6,806.00, 10,204.16 and 2,642.49

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Solution

The fourth proportional to 6,806.00, 10,204.16 and 2,642.49 is: 3,961.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.00 : 10,204.16 = 2,642.49 : x
  2. Step 2: Convert to fraction form
    6,806.00/10,204.16 = 2,642.49/x
  3. Step 3: Cross multiply
    6,806.00x = 10,204.16 × 2,642.49
  4. Step 4: Simplify right side
    6,806.00x = 26,964,377.55
  5. Step 5: Solve for x
    x = 26,964,377.55/6,806.00
  6. Step 6: Final answer
    x = 3,961.86

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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.