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Finding the Fourth Proportional to 10,808.82, 16,163.82 and 7,857.18

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Solution

The fourth proportional to 10,808.82, 16,163.82 and 7,857.18 is: 11,749.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,808.82 : 16,163.82 = 7,857.18 : x
  2. Step 2: Convert to fraction form
    10,808.82/16,163.82 = 7,857.18/x
  3. Step 3: Cross multiply
    10,808.82x = 16,163.82 × 7,857.18
  4. Step 4: Simplify right side
    10,808.82x = 127,002,043.23
  5. Step 5: Solve for x
    x = 127,002,043.23/10,808.82
  6. Step 6: Final answer
    x = 11,749.85

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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.