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Finding the Fourth Proportional to 6,697.97, 10,049.69 and 2,318.51

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Solution

The fourth proportional to 6,697.97, 10,049.69 and 2,318.51 is: 3,478.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.97 : 10,049.69 = 2,318.51 : x
  2. Step 2: Convert to fraction form
    6,697.97/10,049.69 = 2,318.51/x
  3. Step 3: Cross multiply
    6,697.97x = 10,049.69 × 2,318.51
  4. Step 4: Simplify right side
    6,697.97x = 23,300,244.92
  5. Step 5: Solve for x
    x = 23,300,244.92/6,697.97
  6. Step 6: Final answer
    x = 3,478.71

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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.