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Finding the Fourth Proportional to 6,452.42, 9,679.99 and 2,072.95

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Solution

The fourth proportional to 6,452.42, 9,679.99 and 2,072.95 is: 3,109.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.42 : 9,679.99 = 2,072.95 : x
  2. Step 2: Convert to fraction form
    6,452.42/9,679.99 = 2,072.95/x
  3. Step 3: Cross multiply
    6,452.42x = 9,679.99 × 2,072.95
  4. Step 4: Simplify right side
    6,452.42x = 20,066,135.27
  5. Step 5: Solve for x
    x = 20,066,135.27/6,452.42
  6. Step 6: Final answer
    x = 3,109.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.