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Finding the Fourth Proportional to 6,654.75, 9,183.36 and 3,670.53

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Solution

The fourth proportional to 6,654.75, 9,183.36 and 3,670.53 is: 5,065.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,654.75 : 9,183.36 = 3,670.53 : x
  2. Step 2: Convert to fraction form
    6,654.75/9,183.36 = 3,670.53/x
  3. Step 3: Cross multiply
    6,654.75x = 9,183.36 × 3,670.53
  4. Step 4: Simplify right side
    6,654.75x = 33,707,798.38
  5. Step 5: Solve for x
    x = 33,707,798.38/6,654.75
  6. Step 6: Final answer
    x = 5,065.22

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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.