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Finding the Fourth Proportional to 7,949.73, 11,927.97 and 4,251

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Solution

The fourth proportional to 7,949.73, 11,927.97 and 4,251 is: 6,378.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,949.73 : 11,927.97 = 4,251 : x
  2. Step 2: Convert to fraction form
    7,949.73/11,927.97 = 4,251/x
  3. Step 3: Cross multiply
    7,949.73x = 11,927.97 × 4,251
  4. Step 4: Simplify right side
    7,949.73x = 50,705,800.47
  5. Step 5: Solve for x
    x = 50,705,800.47/7,949.73
  6. Step 6: Final answer
    x = 6,378.30

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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.