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Finding the Fourth Proportional to 11,453.67, 17,164.10 and 6,512.87

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Solution

The fourth proportional to 11,453.67, 17,164.10 and 6,512.87 is: 9,759.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,453.67 : 17,164.10 = 6,512.87 : x
  2. Step 2: Convert to fraction form
    11,453.67/17,164.10 = 6,512.87/x
  3. Step 3: Cross multiply
    11,453.67x = 17,164.10 × 6,512.87
  4. Step 4: Simplify right side
    11,453.67x = 111,787,433.58
  5. Step 5: Solve for x
    x = 111,787,433.58/11,453.67
  6. Step 6: Final answer
    x = 9,759.97

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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.