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Finding the Fourth Proportional to 27,758, 41,633.94 and 6,981.50

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Solution

The fourth proportional to 27,758, 41,633.94 and 6,981.50 is: 10,471.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,758 : 41,633.94 = 6,981.50 : x
  2. Step 2: Convert to fraction form
    27,758/41,633.94 = 6,981.50/x
  3. Step 3: Cross multiply
    27,758x = 41,633.94 × 6,981.50
  4. Step 4: Simplify right side
    27,758x = 290,667,352.11
  5. Step 5: Solve for x
    x = 290,667,352.11/27,758
  6. Step 6: Final answer
    x = 10,471.48

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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.