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Finding the Fourth Proportional to 6,649, 9,175.58 and 3,624.12

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Solution

The fourth proportional to 6,649, 9,175.58 and 3,624.12 is: 5,001.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649 : 9,175.58 = 3,624.12 : x
  2. Step 2: Convert to fraction form
    6,649/9,175.58 = 3,624.12/x
  3. Step 3: Cross multiply
    6,649x = 9,175.58 × 3,624.12
  4. Step 4: Simplify right side
    6,649x = 33,253,380.05
  5. Step 5: Solve for x
    x = 33,253,380.05/6,649
  6. Step 6: Final answer
    x = 5,001.26

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