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Finding the Fourth Proportional to 6,755, 10,137 and 2,598.44

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Solution

The fourth proportional to 6,755, 10,137 and 2,598.44 is: 3,899.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,755 : 10,137 = 2,598.44 : x
  2. Step 2: Convert to fraction form
    6,755/10,137 = 2,598.44/x
  3. Step 3: Cross multiply
    6,755x = 10,137 × 2,598.44
  4. Step 4: Simplify right side
    6,755x = 26,340,386.28
  5. Step 5: Solve for x
    x = 26,340,386.28/6,755
  6. Step 6: Final answer
    x = 3,899.39

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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.