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Finding the Fourth Proportional to 6,654.66, 9,183.24 and 3,670.44

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Solution

The fourth proportional to 6,654.66, 9,183.24 and 3,670.44 is: 5,065.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,654.66 : 9,183.24 = 3,670.44 : x
  2. Step 2: Convert to fraction form
    6,654.66/9,183.24 = 3,670.44/x
  3. Step 3: Cross multiply
    6,654.66x = 9,183.24 × 3,670.44
  4. Step 4: Simplify right side
    6,654.66x = 33,706,531.43
  5. Step 5: Solve for x
    x = 33,706,531.43/6,654.66
  6. Step 6: Final answer
    x = 5,065.10

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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.