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Finding the Fourth Proportional to 6,694.12, 10,041.54 and 2,747.08

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Solution

The fourth proportional to 6,694.12, 10,041.54 and 2,747.08 is: 4,120.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.12 : 10,041.54 = 2,747.08 : x
  2. Step 2: Convert to fraction form
    6,694.12/10,041.54 = 2,747.08/x
  3. Step 3: Cross multiply
    6,694.12x = 10,041.54 × 2,747.08
  4. Step 4: Simplify right side
    6,694.12x = 27,584,913.70
  5. Step 5: Solve for x
    x = 27,584,913.70/6,694.12
  6. Step 6: Final answer
    x = 4,120.77

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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.