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Finding the Fourth Proportional to 11,774.96, 16,247.71 and 6,738.38

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Solution

The fourth proportional to 11,774.96, 16,247.71 and 6,738.38 is: 9,297.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.96 : 16,247.71 = 6,738.38 : x
  2. Step 2: Convert to fraction form
    11,774.96/16,247.71 = 6,738.38/x
  3. Step 3: Cross multiply
    11,774.96x = 16,247.71 × 6,738.38
  4. Step 4: Simplify right side
    11,774.96x = 109,483,146.03
  5. Step 5: Solve for x
    x = 109,483,146.03/11,774.96
  6. Step 6: Final answer
    x = 9,297.97

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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.