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Finding the Fourth Proportional to 22,285, 33,423.45 and 8,242.84

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Solution

The fourth proportional to 22,285, 33,423.45 and 8,242.84 is: 12,362.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,285 : 33,423.45 = 8,242.84 : x
  2. Step 2: Convert to fraction form
    22,285/33,423.45 = 8,242.84/x
  3. Step 3: Cross multiply
    22,285x = 33,423.45 × 8,242.84
  4. Step 4: Simplify right side
    22,285x = 275,504,150.60
  5. Step 5: Solve for x
    x = 275,504,150.60/22,285
  6. Step 6: Final answer
    x = 12,362.76

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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.