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Finding the Fourth Proportional to 22,409.29, 33,608.35 and 6,826.69

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Solution

The fourth proportional to 22,409.29, 33,608.35 and 6,826.69 is: 10,238.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,409.29 : 33,608.35 = 6,826.69 : x
  2. Step 2: Convert to fraction form
    22,409.29/33,608.35 = 6,826.69/x
  3. Step 3: Cross multiply
    22,409.29x = 33,608.35 × 6,826.69
  4. Step 4: Simplify right side
    22,409.29x = 229,433,786.86
  5. Step 5: Solve for x
    x = 229,433,786.86/22,409.29
  6. Step 6: Final answer
    x = 10,238.33

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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.