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Finding the Fourth Proportional to 6,751.50, 10,126.74 and 2,369.25

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Solution

The fourth proportional to 6,751.50, 10,126.74 and 2,369.25 is: 3,553.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751.50 : 10,126.74 = 2,369.25 : x
  2. Step 2: Convert to fraction form
    6,751.50/10,126.74 = 2,369.25/x
  3. Step 3: Cross multiply
    6,751.50x = 10,126.74 × 2,369.25
  4. Step 4: Simplify right side
    6,751.50x = 23,992,778.75
  5. Step 5: Solve for x
    x = 23,992,778.75/6,751.50
  6. Step 6: Final answer
    x = 3,553.70

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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.