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Finding the Fourth Proportional to 11,974.62, 17,950.74 and 4,071.73

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Solution

The fourth proportional to 11,974.62, 17,950.74 and 4,071.73 is: 6,103.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,974.62 : 17,950.74 = 4,071.73 : x
  2. Step 2: Convert to fraction form
    11,974.62/17,950.74 = 4,071.73/x
  3. Step 3: Cross multiply
    11,974.62x = 17,950.74 × 4,071.73
  4. Step 4: Simplify right side
    11,974.62x = 73,090,501.06
  5. Step 5: Solve for x
    x = 73,090,501.06/11,974.62
  6. Step 6: Final answer
    x = 6,103.79

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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.