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Finding the Fourth Proportional to 6,713.38, 10,069.86 and 3,205.90

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Solution

The fourth proportional to 6,713.38, 10,069.86 and 3,205.90 is: 4,808.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713.38 : 10,069.86 = 3,205.90 : x
  2. Step 2: Convert to fraction form
    6,713.38/10,069.86 = 3,205.90/x
  3. Step 3: Cross multiply
    6,713.38x = 10,069.86 × 3,205.90
  4. Step 4: Simplify right side
    6,713.38x = 32,282,964.17
  5. Step 5: Solve for x
    x = 32,282,964.17/6,713.38
  6. Step 6: Final answer
    x = 4,808.75

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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.