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Finding the Fourth Proportional to 14,859.78, 20,504.07 and 9,198.27

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Solution

The fourth proportional to 14,859.78, 20,504.07 and 9,198.27 is: 12,692.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,859.78 : 20,504.07 = 9,198.27 : x
  2. Step 2: Convert to fraction form
    14,859.78/20,504.07 = 9,198.27/x
  3. Step 3: Cross multiply
    14,859.78x = 20,504.07 × 9,198.27
  4. Step 4: Simplify right side
    14,859.78x = 188,601,971.96
  5. Step 5: Solve for x
    x = 188,601,971.96/14,859.78
  6. Step 6: Final answer
    x = 12,692.11

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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.