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Finding the Fourth Proportional to 11,713.78, 17,576.44 and 5,474.22

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Solution

The fourth proportional to 11,713.78, 17,576.44 and 5,474.22 is: 8,214.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.78 : 17,576.44 = 5,474.22 : x
  2. Step 2: Convert to fraction form
    11,713.78/17,576.44 = 5,474.22/x
  3. Step 3: Cross multiply
    11,713.78x = 17,576.44 × 5,474.22
  4. Step 4: Simplify right side
    11,713.78x = 96,217,299.38
  5. Step 5: Solve for x
    x = 96,217,299.38/11,713.78
  6. Step 6: Final answer
    x = 8,214.03

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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.