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Finding the Fourth Proportional to 11,667, 16,100.06 and 6,631.14

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Solution

The fourth proportional to 11,667, 16,100.06 and 6,631.14 is: 9,150.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,667 : 16,100.06 = 6,631.14 : x
  2. Step 2: Convert to fraction form
    11,667/16,100.06 = 6,631.14/x
  3. Step 3: Cross multiply
    11,667x = 16,100.06 × 6,631.14
  4. Step 4: Simplify right side
    11,667x = 106,761,751.87
  5. Step 5: Solve for x
    x = 106,761,751.87/11,667
  6. Step 6: Final answer
    x = 9,150.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.