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Finding the Fourth Proportional to 22,496.74, 33,745.41 and 7,705.33

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Solution

The fourth proportional to 22,496.74, 33,745.41 and 7,705.33 is: 11,558.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,496.74 : 33,745.41 = 7,705.33 : x
  2. Step 2: Convert to fraction form
    22,496.74/33,745.41 = 7,705.33/x
  3. Step 3: Cross multiply
    22,496.74x = 33,745.41 × 7,705.33
  4. Step 4: Simplify right side
    22,496.74x = 260,019,435.67
  5. Step 5: Solve for x
    x = 260,019,435.67/22,496.74
  6. Step 6: Final answer
    x = 11,558.10

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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.