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Finding the Fourth Proportional to 22,408.56, 33,614.73 and 6,826.23

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Solution

The fourth proportional to 22,408.56, 33,614.73 and 6,826.23 is: 10,239.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,408.56 : 33,614.73 = 6,826.23 : x
  2. Step 2: Convert to fraction form
    22,408.56/33,614.73 = 6,826.23/x
  3. Step 3: Cross multiply
    22,408.56x = 33,614.73 × 6,826.23
  4. Step 4: Simplify right side
    22,408.56x = 229,461,878.37
  5. Step 5: Solve for x
    x = 229,461,878.37/22,408.56
  6. Step 6: Final answer
    x = 10,239.92

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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.