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Finding the Fourth Proportional to 22,664.25, 33,995.34 and 7,874.32

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Solution

The fourth proportional to 22,664.25, 33,995.34 and 7,874.32 is: 11,811.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,664.25 : 33,995.34 = 7,874.32 : x
  2. Step 2: Convert to fraction form
    22,664.25/33,995.34 = 7,874.32/x
  3. Step 3: Cross multiply
    22,664.25x = 33,995.34 × 7,874.32
  4. Step 4: Simplify right side
    22,664.25x = 267,690,185.67
  5. Step 5: Solve for x
    x = 267,690,185.67/22,664.25
  6. Step 6: Final answer
    x = 11,811.12

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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.