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Finding the Fourth Proportional to 6,696.53, 9,241.31 and 3,671.94

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Solution

The fourth proportional to 6,696.53, 9,241.31 and 3,671.94 is: 5,067.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.53 : 9,241.31 = 3,671.94 : x
  2. Step 2: Convert to fraction form
    6,696.53/9,241.31 = 3,671.94/x
  3. Step 3: Cross multiply
    6,696.53x = 9,241.31 × 3,671.94
  4. Step 4: Simplify right side
    6,696.53x = 33,933,496.60
  5. Step 5: Solve for x
    x = 33,933,496.60/6,696.53
  6. Step 6: Final answer
    x = 5,067.32

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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.