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Finding the Fourth Proportional to 6,249.63, 9,372.15 and 1,865.61

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Solution

The fourth proportional to 6,249.63, 9,372.15 and 1,865.61 is: 2,797.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,249.63 : 9,372.15 = 1,865.61 : x
  2. Step 2: Convert to fraction form
    6,249.63/9,372.15 = 1,865.61/x
  3. Step 3: Cross multiply
    6,249.63x = 9,372.15 × 1,865.61
  4. Step 4: Simplify right side
    6,249.63x = 17,484,776.76
  5. Step 5: Solve for x
    x = 17,484,776.76/6,249.63
  6. Step 6: Final answer
    x = 2,797.73

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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.