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Finding the Fourth Proportional to 8,249.31, 11,384.11 and 4,472.48

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Solution

The fourth proportional to 8,249.31, 11,384.11 and 4,472.48 is: 6,172.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249.31 : 11,384.11 = 4,472.48 : x
  2. Step 2: Convert to fraction form
    8,249.31/11,384.11 = 4,472.48/x
  3. Step 3: Cross multiply
    8,249.31x = 11,384.11 × 4,472.48
  4. Step 4: Simplify right side
    8,249.31x = 50,915,238.34
  5. Step 5: Solve for x
    x = 50,915,238.34/8,249.31
  6. Step 6: Final answer
    x = 6,172.06

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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.