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Finding the Fourth Proportional to 22,406.70, 33,614.88 and 6,823.92

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Solution

The fourth proportional to 22,406.70, 33,614.88 and 6,823.92 is: 10,237.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,406.70 : 33,614.88 = 6,823.92 : x
  2. Step 2: Convert to fraction form
    22,406.70/33,614.88 = 6,823.92/x
  3. Step 3: Cross multiply
    22,406.70x = 33,614.88 × 6,823.92
  4. Step 4: Simplify right side
    22,406.70x = 229,385,251.93
  5. Step 5: Solve for x
    x = 229,385,251.93/22,406.70
  6. Step 6: Final answer
    x = 10,237.35

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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.