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Finding the Fourth Proportional to 22,406.22, 33,609.32 and 6,823.98

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Solution

The fourth proportional to 22,406.22, 33,609.32 and 6,823.98 is: 10,235.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,406.22 : 33,609.32 = 6,823.98 : x
  2. Step 2: Convert to fraction form
    22,406.22/33,609.32 = 6,823.98/x
  3. Step 3: Cross multiply
    22,406.22x = 33,609.32 × 6,823.98
  4. Step 4: Simplify right side
    22,406.22x = 229,349,327.49
  5. Step 5: Solve for x
    x = 229,349,327.49/22,406.22
  6. Step 6: Final answer
    x = 10,235.97

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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.