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Finding the Fourth Proportional to 18,178, 27,267 and 5,866

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Solution

The fourth proportional to 18,178, 27,267 and 5,866 is: 8,799

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,178 : 27,267 = 5,866 : x
  2. Step 2: Convert to fraction form
    18,178/27,267 = 5,866/x
  3. Step 3: Cross multiply
    18,178x = 27,267 × 5,866
  4. Step 4: Simplify right side
    18,178x = 159,948,222
  5. Step 5: Solve for x
    x = 159,948,222/18,178
  6. Step 6: Final answer
    x = 8,799

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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.