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Finding the Fourth Proportional to 21,462.14, 32,198.06 and 7,611.14

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Solution

The fourth proportional to 21,462.14, 32,198.06 and 7,611.14 is: 11,418.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,462.14 : 32,198.06 = 7,611.14 : x
  2. Step 2: Convert to fraction form
    21,462.14/32,198.06 = 7,611.14/x
  3. Step 3: Cross multiply
    21,462.14x = 32,198.06 × 7,611.14
  4. Step 4: Simplify right side
    21,462.14x = 245,063,942.39
  5. Step 5: Solve for x
    x = 245,063,942.39/21,462.14
  6. Step 6: Final answer
    x = 11,418.43

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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.