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Finding the Fourth Proportional to 21,524.56, 32,286.84 and 6,733.56

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Solution

The fourth proportional to 21,524.56, 32,286.84 and 6,733.56 is: 10,100.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,524.56 : 32,286.84 = 6,733.56 : x
  2. Step 2: Convert to fraction form
    21,524.56/32,286.84 = 6,733.56/x
  3. Step 3: Cross multiply
    21,524.56x = 32,286.84 × 6,733.56
  4. Step 4: Simplify right side
    21,524.56x = 217,405,374.35
  5. Step 5: Solve for x
    x = 217,405,374.35/21,524.56
  6. Step 6: Final answer
    x = 10,100.34

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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.