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Finding the Fourth Proportional to 22,057.31, 33,091.55 and 9,574.31

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Solution

The fourth proportional to 22,057.31, 33,091.55 and 9,574.31 is: 14,363.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,057.31 : 33,091.55 = 9,574.31 : x
  2. Step 2: Convert to fraction form
    22,057.31/33,091.55 = 9,574.31/x
  3. Step 3: Cross multiply
    22,057.31x = 33,091.55 × 9,574.31
  4. Step 4: Simplify right side
    22,057.31x = 316,828,544.75
  5. Step 5: Solve for x
    x = 316,828,544.75/22,057.31
  6. Step 6: Final answer
    x = 14,363.88

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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.