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Finding the Fourth Proportional to 6,137, 9,205.98 and 2,033

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Solution

The fourth proportional to 6,137, 9,205.98 and 2,033 is: 3,049.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137 : 9,205.98 = 2,033 : x
  2. Step 2: Convert to fraction form
    6,137/9,205.98 = 2,033/x
  3. Step 3: Cross multiply
    6,137x = 9,205.98 × 2,033
  4. Step 4: Simplify right side
    6,137x = 18,715,757.34
  5. Step 5: Solve for x
    x = 18,715,757.34/6,137
  6. Step 6: Final answer
    x = 3,049.66

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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.