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Finding the Fourth Proportional to 6,694.68, 9,239.19 and 3,710.81

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Solution

The fourth proportional to 6,694.68, 9,239.19 and 3,710.81 is: 5,121.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.68 : 9,239.19 = 3,710.81 : x
  2. Step 2: Convert to fraction form
    6,694.68/9,239.19 = 3,710.81/x
  3. Step 3: Cross multiply
    6,694.68x = 9,239.19 × 3,710.81
  4. Step 4: Simplify right side
    6,694.68x = 34,284,832.45
  5. Step 5: Solve for x
    x = 34,284,832.45/6,694.68
  6. Step 6: Final answer
    x = 5,121.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.