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Finding the Fourth Proportional to 22,057.91, 33,086.78 and 9,576.30

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Solution

The fourth proportional to 22,057.91, 33,086.78 and 9,576.30 is: 14,364.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,057.91 : 33,086.78 = 9,576.30 : x
  2. Step 2: Convert to fraction form
    22,057.91/33,086.78 = 9,576.30/x
  3. Step 3: Cross multiply
    22,057.91x = 33,086.78 × 9,576.30
  4. Step 4: Simplify right side
    22,057.91x = 316,848,883.43
  5. Step 5: Solve for x
    x = 316,848,883.43/22,057.91
  6. Step 6: Final answer
    x = 14,364.41

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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.