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Finding the Fourth Proportional to 6,755.89, 10,126.91 and 2,594.78

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Solution

The fourth proportional to 6,755.89, 10,126.91 and 2,594.78 is: 3,889.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,755.89 : 10,126.91 = 2,594.78 : x
  2. Step 2: Convert to fraction form
    6,755.89/10,126.91 = 2,594.78/x
  3. Step 3: Cross multiply
    6,755.89x = 10,126.91 × 2,594.78
  4. Step 4: Simplify right side
    6,755.89x = 26,277,039.92
  5. Step 5: Solve for x
    x = 26,277,039.92/6,755.89
  6. Step 6: Final answer
    x = 3,889.50

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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.