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Finding the Fourth Proportional to 20,546.92, 30,814.98 and 7,396.84

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Solution

The fourth proportional to 20,546.92, 30,814.98 and 7,396.84 is: 11,093.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,546.92 : 30,814.98 = 7,396.84 : x
  2. Step 2: Convert to fraction form
    20,546.92/30,814.98 = 7,396.84/x
  3. Step 3: Cross multiply
    20,546.92x = 30,814.98 × 7,396.84
  4. Step 4: Simplify right side
    20,546.92x = 227,933,476.66
  5. Step 5: Solve for x
    x = 227,933,476.66/20,546.92
  6. Step 6: Final answer
    x = 11,093.32

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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.