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Finding the Fourth Proportional to 6,137.64, 9,204.30 and 2,241

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Solution

The fourth proportional to 6,137.64, 9,204.30 and 2,241 is: 3,360.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.64 : 9,204.30 = 2,241 : x
  2. Step 2: Convert to fraction form
    6,137.64/9,204.30 = 2,241/x
  3. Step 3: Cross multiply
    6,137.64x = 9,204.30 × 2,241
  4. Step 4: Simplify right side
    6,137.64x = 20,626,836.30
  5. Step 5: Solve for x
    x = 20,626,836.30/6,137.64
  6. Step 6: Final answer
    x = 3,360.71

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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.