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Finding the Fourth Proportional to 6,418.38, 9,630.81 and 5,023.02

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Solution

The fourth proportional to 6,418.38, 9,630.81 and 5,023.02 is: 7,537.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418.38 : 9,630.81 = 5,023.02 : x
  2. Step 2: Convert to fraction form
    6,418.38/9,630.81 = 5,023.02/x
  3. Step 3: Cross multiply
    6,418.38x = 9,630.81 × 5,023.02
  4. Step 4: Simplify right side
    6,418.38x = 48,375,751.25
  5. Step 5: Solve for x
    x = 48,375,751.25/6,418.38
  6. Step 6: Final answer
    x = 7,537.07

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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.