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Finding the Fourth Proportional to 11,757.96, 17,629.84 and 5,519.34

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Solution

The fourth proportional to 11,757.96, 17,629.84 and 5,519.34 is: 8,275.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.96 : 17,629.84 = 5,519.34 : x
  2. Step 2: Convert to fraction form
    11,757.96/17,629.84 = 5,519.34/x
  3. Step 3: Cross multiply
    11,757.96x = 17,629.84 × 5,519.34
  4. Step 4: Simplify right side
    11,757.96x = 97,305,081.11
  5. Step 5: Solve for x
    x = 97,305,081.11/11,757.96
  6. Step 6: Final answer
    x = 8,275.68

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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.