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Finding the Fourth Proportional to 22,524.36, 33,776.88 and 7,734.75

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Solution

The fourth proportional to 22,524.36, 33,776.88 and 7,734.75 is: 11,598.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,524.36 : 33,776.88 = 7,734.75 : x
  2. Step 2: Convert to fraction form
    22,524.36/33,776.88 = 7,734.75/x
  3. Step 3: Cross multiply
    22,524.36x = 33,776.88 × 7,734.75
  4. Step 4: Simplify right side
    22,524.36x = 261,255,722.58
  5. Step 5: Solve for x
    x = 261,255,722.58/22,524.36
  6. Step 6: Final answer
    x = 11,598.81

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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.