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Finding the Fourth Proportional to 6,808.69, 10,203.52 and 3,681.95

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Solution

The fourth proportional to 6,808.69, 10,203.52 and 3,681.95 is: 5,517.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808.69 : 10,203.52 = 3,681.95 : x
  2. Step 2: Convert to fraction form
    6,808.69/10,203.52 = 3,681.95/x
  3. Step 3: Cross multiply
    6,808.69x = 10,203.52 × 3,681.95
  4. Step 4: Simplify right side
    6,808.69x = 37,568,850.46
  5. Step 5: Solve for x
    x = 37,568,850.46/6,808.69
  6. Step 6: Final answer
    x = 5,517.78

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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.