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Finding the Fourth Proportional to 7,494.33, 11,251.39 and 6,014.37

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Solution

The fourth proportional to 7,494.33, 11,251.39 and 6,014.37 is: 9,029.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,494.33 : 11,251.39 = 6,014.37 : x
  2. Step 2: Convert to fraction form
    7,494.33/11,251.39 = 6,014.37/x
  3. Step 3: Cross multiply
    7,494.33x = 11,251.39 × 6,014.37
  4. Step 4: Simplify right side
    7,494.33x = 67,669,951.18
  5. Step 5: Solve for x
    x = 67,669,951.18/7,494.33
  6. Step 6: Final answer
    x = 9,029.49

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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.