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Finding the Fourth Proportional to 11,657.44, 16,093.22 and 7,900.44

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Solution

The fourth proportional to 11,657.44, 16,093.22 and 7,900.44 is: 10,906.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.44 : 16,093.22 = 7,900.44 : x
  2. Step 2: Convert to fraction form
    11,657.44/16,093.22 = 7,900.44/x
  3. Step 3: Cross multiply
    11,657.44x = 16,093.22 × 7,900.44
  4. Step 4: Simplify right side
    11,657.44x = 127,143,519.02
  5. Step 5: Solve for x
    x = 127,143,519.02/11,657.44
  6. Step 6: Final answer
    x = 10,906.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.