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Finding the Fourth Proportional to 6,149.98, 9,226.50 and 1,767.73

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Solution

The fourth proportional to 6,149.98, 9,226.50 and 1,767.73 is: 2,652.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.98 : 9,226.50 = 1,767.73 : x
  2. Step 2: Convert to fraction form
    6,149.98/9,226.50 = 1,767.73/x
  3. Step 3: Cross multiply
    6,149.98x = 9,226.50 × 1,767.73
  4. Step 4: Simplify right side
    6,149.98x = 16,309,960.85
  5. Step 5: Solve for x
    x = 16,309,960.85/6,149.98
  6. Step 6: Final answer
    x = 2,652.03

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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.