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Finding the Fourth Proportional to 6,773, 10,163.76 and 2,877.44

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Solution

The fourth proportional to 6,773, 10,163.76 and 2,877.44 is: 4,317.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,773 : 10,163.76 = 2,877.44 : x
  2. Step 2: Convert to fraction form
    6,773/10,163.76 = 2,877.44/x
  3. Step 3: Cross multiply
    6,773x = 10,163.76 × 2,877.44
  4. Step 4: Simplify right side
    6,773x = 29,245,609.57
  5. Step 5: Solve for x
    x = 29,245,609.57/6,773
  6. Step 6: Final answer
    x = 4,317.97

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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.