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Finding the Fourth Proportional to 6,179.41, 9,269.52 and 1,796.50

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Solution

The fourth proportional to 6,179.41, 9,269.52 and 1,796.50 is: 2,694.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,179.41 : 9,269.52 = 1,796.50 : x
  2. Step 2: Convert to fraction form
    6,179.41/9,269.52 = 1,796.50/x
  3. Step 3: Cross multiply
    6,179.41x = 9,269.52 × 1,796.50
  4. Step 4: Simplify right side
    6,179.41x = 16,652,692.68
  5. Step 5: Solve for x
    x = 16,652,692.68/6,179.41
  6. Step 6: Final answer
    x = 2,694.87

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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.