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Finding the Fourth Proportional to 6,684.84, 9,229.59 and 4,170.78

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Solution

The fourth proportional to 6,684.84, 9,229.59 and 4,170.78 is: 5,758.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.84 : 9,229.59 = 4,170.78 : x
  2. Step 2: Convert to fraction form
    6,684.84/9,229.59 = 4,170.78/x
  3. Step 3: Cross multiply
    6,684.84x = 9,229.59 × 4,170.78
  4. Step 4: Simplify right side
    6,684.84x = 38,494,589.38
  5. Step 5: Solve for x
    x = 38,494,589.38/6,684.84
  6. Step 6: Final answer
    x = 5,758.49

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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.