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Finding the Fourth Proportional to 18,616, 27,924 and 4,765

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Solution

The fourth proportional to 18,616, 27,924 and 4,765 is: 7,147.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,616 : 27,924 = 4,765 : x
  2. Step 2: Convert to fraction form
    18,616/27,924 = 4,765/x
  3. Step 3: Cross multiply
    18,616x = 27,924 × 4,765
  4. Step 4: Simplify right side
    18,616x = 133,057,860
  5. Step 5: Solve for x
    x = 133,057,860/18,616
  6. Step 6: Final answer
    x = 7,147.50

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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.