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Finding the Fourth Proportional to 11,093, 16,639.48 and 6,472.76

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Solution

The fourth proportional to 11,093, 16,639.48 and 6,472.76 is: 9,709.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,093 : 16,639.48 = 6,472.76 : x
  2. Step 2: Convert to fraction form
    11,093/16,639.48 = 6,472.76/x
  3. Step 3: Cross multiply
    11,093x = 16,639.48 × 6,472.76
  4. Step 4: Simplify right side
    11,093x = 107,703,360.56
  5. Step 5: Solve for x
    x = 107,703,360.56/11,093
  6. Step 6: Final answer
    x = 9,709.13

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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.