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Finding the Fourth Proportional to 6,704.84, 10,057.37 and 2,755.08

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Solution

The fourth proportional to 6,704.84, 10,057.37 and 2,755.08 is: 4,132.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.84 : 10,057.37 = 2,755.08 : x
  2. Step 2: Convert to fraction form
    6,704.84/10,057.37 = 2,755.08/x
  3. Step 3: Cross multiply
    6,704.84x = 10,057.37 × 2,755.08
  4. Step 4: Simplify right side
    6,704.84x = 27,708,845.16
  5. Step 5: Solve for x
    x = 27,708,845.16/6,704.84
  6. Step 6: Final answer
    x = 4,132.66

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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.