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Finding the Fourth Proportional to 11,891, 16,409.58 and 6,923

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Solution

The fourth proportional to 11,891, 16,409.58 and 6,923 is: 9,553.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,891 : 16,409.58 = 6,923 : x
  2. Step 2: Convert to fraction form
    11,891/16,409.58 = 6,923/x
  3. Step 3: Cross multiply
    11,891x = 16,409.58 × 6,923
  4. Step 4: Simplify right side
    11,891x = 113,603,522.34
  5. Step 5: Solve for x
    x = 113,603,522.34/11,891
  6. Step 6: Final answer
    x = 9,553.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.