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Finding the Fourth Proportional to 22,529.31, 33,794.74 and 7,738.11

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Solution

The fourth proportional to 22,529.31, 33,794.74 and 7,738.11 is: 11,607.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,529.31 : 33,794.74 = 7,738.11 : x
  2. Step 2: Convert to fraction form
    22,529.31/33,794.74 = 7,738.11/x
  3. Step 3: Cross multiply
    22,529.31x = 33,794.74 × 7,738.11
  4. Step 4: Simplify right side
    22,529.31x = 261,507,425.21
  5. Step 5: Solve for x
    x = 261,507,425.21/22,529.31
  6. Step 6: Final answer
    x = 11,607.43

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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.