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Finding the Fourth Proportional to 18,571.71, 27,854.73 and 6,093

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Solution

The fourth proportional to 18,571.71, 27,854.73 and 6,093 is: 9,138.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,571.71 : 27,854.73 = 6,093 : x
  2. Step 2: Convert to fraction form
    18,571.71/27,854.73 = 6,093/x
  3. Step 3: Cross multiply
    18,571.71x = 27,854.73 × 6,093
  4. Step 4: Simplify right side
    18,571.71x = 169,718,869.89
  5. Step 5: Solve for x
    x = 169,718,869.89/18,571.71
  6. Step 6: Final answer
    x = 9,138.57

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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.