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Finding the Fourth Proportional to 6,694.26, 9,238.26 and 3,669.54

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Solution

The fourth proportional to 6,694.26, 9,238.26 and 3,669.54 is: 5,064.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.26 : 9,238.26 = 3,669.54 : x
  2. Step 2: Convert to fraction form
    6,694.26/9,238.26 = 3,669.54/x
  3. Step 3: Cross multiply
    6,694.26x = 9,238.26 × 3,669.54
  4. Step 4: Simplify right side
    6,694.26x = 33,900,164.60
  5. Step 5: Solve for x
    x = 33,900,164.60/6,694.26
  6. Step 6: Final answer
    x = 5,064.06

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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.