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Finding the Fourth Proportional to 6,696.26, 9,241.02 and 3,671.54

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Solution

The fourth proportional to 6,696.26, 9,241.02 and 3,671.54 is: 5,066.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.26 : 9,241.02 = 3,671.54 : x
  2. Step 2: Convert to fraction form
    6,696.26/9,241.02 = 3,671.54/x
  3. Step 3: Cross multiply
    6,696.26x = 9,241.02 × 3,671.54
  4. Step 4: Simplify right side
    6,696.26x = 33,928,774.57
  5. Step 5: Solve for x
    x = 33,928,774.57/6,696.26
  6. Step 6: Final answer
    x = 5,066.82

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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.