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Finding the Fourth Proportional to 18,263, 27,378.06 and 6,568

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Solution

The fourth proportional to 18,263, 27,378.06 and 6,568 is: 9,846.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,263 : 27,378.06 = 6,568 : x
  2. Step 2: Convert to fraction form
    18,263/27,378.06 = 6,568/x
  3. Step 3: Cross multiply
    18,263x = 27,378.06 × 6,568
  4. Step 4: Simplify right side
    18,263x = 179,819,098.08
  5. Step 5: Solve for x
    x = 179,819,098.08/18,263
  6. Step 6: Final answer
    x = 9,846.09

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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.