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Finding the Fourth Proportional to 6,165.67, 8,506.61 and 3,773.14

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Solution

The fourth proportional to 6,165.67, 8,506.61 and 3,773.14 is: 5,205.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.67 : 8,506.61 = 3,773.14 : x
  2. Step 2: Convert to fraction form
    6,165.67/8,506.61 = 3,773.14/x
  3. Step 3: Cross multiply
    6,165.67x = 8,506.61 × 3,773.14
  4. Step 4: Simplify right side
    6,165.67x = 32,096,661.15
  5. Step 5: Solve for x
    x = 32,096,661.15/6,165.67
  6. Step 6: Final answer
    x = 5,205.71

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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.