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Finding the Fourth Proportional to 6,751.26, 10,126.80 and 3,462.57

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Solution

The fourth proportional to 6,751.26, 10,126.80 and 3,462.57 is: 5,193.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751.26 : 10,126.80 = 3,462.57 : x
  2. Step 2: Convert to fraction form
    6,751.26/10,126.80 = 3,462.57/x
  3. Step 3: Cross multiply
    6,751.26x = 10,126.80 × 3,462.57
  4. Step 4: Simplify right side
    6,751.26x = 35,064,753.88
  5. Step 5: Solve for x
    x = 35,064,753.88/6,751.26
  6. Step 6: Final answer
    x = 5,193.81

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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.