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Finding the Fourth Proportional to 6,744.68, 10,110.04 and 2,583.68

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Solution

The fourth proportional to 6,744.68, 10,110.04 and 2,583.68 is: 3,872.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.68 : 10,110.04 = 2,583.68 : x
  2. Step 2: Convert to fraction form
    6,744.68/10,110.04 = 2,583.68/x
  3. Step 3: Cross multiply
    6,744.68x = 10,110.04 × 2,583.68
  4. Step 4: Simplify right side
    6,744.68x = 26,121,108.15
  5. Step 5: Solve for x
    x = 26,121,108.15/6,744.68
  6. Step 6: Final answer
    x = 3,872.85

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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.