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Finding the Fourth Proportional to 18,406, 27,610.44 and 6,094

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Solution

The fourth proportional to 18,406, 27,610.44 and 6,094 is: 9,141.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,406 : 27,610.44 = 6,094 : x
  2. Step 2: Convert to fraction form
    18,406/27,610.44 = 6,094/x
  3. Step 3: Cross multiply
    18,406x = 27,610.44 × 6,094
  4. Step 4: Simplify right side
    18,406x = 168,258,021.36
  5. Step 5: Solve for x
    x = 168,258,021.36/18,406
  6. Step 6: Final answer
    x = 9,141.48

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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.