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Finding the Fourth Proportional to 12,625, 18,937.51 and 4,833.82

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Solution

The fourth proportional to 12,625, 18,937.51 and 4,833.82 is: 7,250.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,625 : 18,937.51 = 4,833.82 : x
  2. Step 2: Convert to fraction form
    12,625/18,937.51 = 4,833.82/x
  3. Step 3: Cross multiply
    12,625x = 18,937.51 × 4,833.82
  4. Step 4: Simplify right side
    12,625x = 91,540,514.59
  5. Step 5: Solve for x
    x = 91,540,514.59/12,625
  6. Step 6: Final answer
    x = 7,250.73

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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.