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Finding the Fourth Proportional to 7,667.92, 11,503.97 and 2,738.06

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Solution

The fourth proportional to 7,667.92, 11,503.97 and 2,738.06 is: 4,107.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,667.92 : 11,503.97 = 2,738.06 : x
  2. Step 2: Convert to fraction form
    7,667.92/11,503.97 = 2,738.06/x
  3. Step 3: Cross multiply
    7,667.92x = 11,503.97 × 2,738.06
  4. Step 4: Simplify right side
    7,667.92x = 31,498,560.10
  5. Step 5: Solve for x
    x = 31,498,560.10/7,667.92
  6. Step 6: Final answer
    x = 4,107.84

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1.5x scale

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.