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Finding the Fourth Proportional to 11,414.75, 15,751.97 and 6,635.09

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Solution

The fourth proportional to 11,414.75, 15,751.97 and 6,635.09 is: 9,156.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,414.75 : 15,751.97 = 6,635.09 : x
  2. Step 2: Convert to fraction form
    11,414.75/15,751.97 = 6,635.09/x
  3. Step 3: Cross multiply
    11,414.75x = 15,751.97 × 6,635.09
  4. Step 4: Simplify right side
    11,414.75x = 104,515,626.69
  5. Step 5: Solve for x
    x = 104,515,626.69/11,414.75
  6. Step 6: Final answer
    x = 9,156.19

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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.