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Finding the Fourth Proportional to 6,755.06, 10,132.64 and 2,138.06

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Solution

The fourth proportional to 6,755.06, 10,132.64 and 2,138.06 is: 3,207.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,755.06 : 10,132.64 = 2,138.06 : x
  2. Step 2: Convert to fraction form
    6,755.06/10,132.64 = 2,138.06/x
  3. Step 3: Cross multiply
    6,755.06x = 10,132.64 × 2,138.06
  4. Step 4: Simplify right side
    6,755.06x = 21,664,214.94
  5. Step 5: Solve for x
    x = 21,664,214.94/6,755.06
  6. Step 6: Final answer
    x = 3,207.11

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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.