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Finding the Fourth Proportional to 18,446, 27,669.48 and 6,134

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Solution

The fourth proportional to 18,446, 27,669.48 and 6,134 is: 9,201.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,446 : 27,669.48 = 6,134 : x
  2. Step 2: Convert to fraction form
    18,446/27,669.48 = 6,134/x
  3. Step 3: Cross multiply
    18,446x = 27,669.48 × 6,134
  4. Step 4: Simplify right side
    18,446x = 169,724,590.32
  5. Step 5: Solve for x
    x = 169,724,590.32/18,446
  6. Step 6: Final answer
    x = 9,201.16

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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.