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Finding the Fourth Proportional to 6,138.38, 9,201 and 2,435.48

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Solution

The fourth proportional to 6,138.38, 9,201 and 2,435.48 is: 3,650.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.38 : 9,201 = 2,435.48 : x
  2. Step 2: Convert to fraction form
    6,138.38/9,201 = 2,435.48/x
  3. Step 3: Cross multiply
    6,138.38x = 9,201 × 2,435.48
  4. Step 4: Simplify right side
    6,138.38x = 22,408,851.48
  5. Step 5: Solve for x
    x = 22,408,851.48/6,138.38
  6. Step 6: Final answer
    x = 3,650.61

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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.