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Finding the Fourth Proportional to 22,441.28, 33,662 and 6,858.84

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Solution

The fourth proportional to 22,441.28, 33,662 and 6,858.84 is: 10,288.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,441.28 : 33,662 = 6,858.84 : x
  2. Step 2: Convert to fraction form
    22,441.28/33,662 = 6,858.84/x
  3. Step 3: Cross multiply
    22,441.28x = 33,662 × 6,858.84
  4. Step 4: Simplify right side
    22,441.28x = 230,882,272.08
  5. Step 5: Solve for x
    x = 230,882,272.08/22,441.28
  6. Step 6: Final answer
    x = 10,288.28

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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.