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Finding the Fourth Proportional to 6,775, 10,163.04 and 1,845.04

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Solution

The fourth proportional to 6,775, 10,163.04 and 1,845.04 is: 2,767.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,775 : 10,163.04 = 1,845.04 : x
  2. Step 2: Convert to fraction form
    6,775/10,163.04 = 1,845.04/x
  3. Step 3: Cross multiply
    6,775x = 10,163.04 × 1,845.04
  4. Step 4: Simplify right side
    6,775x = 18,751,215.32
  5. Step 5: Solve for x
    x = 18,751,215.32/6,775
  6. Step 6: Final answer
    x = 2,767.71

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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.