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Finding the Fourth Proportional to 6,144.32, 9,221.34 and 2,684

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Solution

The fourth proportional to 6,144.32, 9,221.34 and 2,684 is: 4,028.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.32 : 9,221.34 = 2,684 : x
  2. Step 2: Convert to fraction form
    6,144.32/9,221.34 = 2,684/x
  3. Step 3: Cross multiply
    6,144.32x = 9,221.34 × 2,684
  4. Step 4: Simplify right side
    6,144.32x = 24,750,076.56
  5. Step 5: Solve for x
    x = 24,750,076.56/6,144.32
  6. Step 6: Final answer
    x = 4,028.12

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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.