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Finding the Fourth Proportional to 22,057.31, 33,085.97 and 6,474.94

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Solution

The fourth proportional to 22,057.31, 33,085.97 and 6,474.94 is: 9,712.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,057.31 : 33,085.97 = 6,474.94 : x
  2. Step 2: Convert to fraction form
    22,057.31/33,085.97 = 6,474.94/x
  3. Step 3: Cross multiply
    22,057.31x = 33,085.97 × 6,474.94
  4. Step 4: Simplify right side
    22,057.31x = 214,229,579.78
  5. Step 5: Solve for x
    x = 214,229,579.78/22,057.31
  6. Step 6: Final answer
    x = 9,712.41

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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.