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Finding the Fourth Proportional to 18,146, 27,219 and 5,834

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Solution

The fourth proportional to 18,146, 27,219 and 5,834 is: 8,751

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,146 : 27,219 = 5,834 : x
  2. Step 2: Convert to fraction form
    18,146/27,219 = 5,834/x
  3. Step 3: Cross multiply
    18,146x = 27,219 × 5,834
  4. Step 4: Simplify right side
    18,146x = 158,795,646
  5. Step 5: Solve for x
    x = 158,795,646/18,146
  6. Step 6: Final answer
    x = 8,751

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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.