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Finding the Fourth Proportional to 11,971.98, 16,524.99 and 8,193.63

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Solution

The fourth proportional to 11,971.98, 16,524.99 and 8,193.63 is: 11,309.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,971.98 : 16,524.99 = 8,193.63 : x
  2. Step 2: Convert to fraction form
    11,971.98/16,524.99 = 8,193.63/x
  3. Step 3: Cross multiply
    11,971.98x = 16,524.99 × 8,193.63
  4. Step 4: Simplify right side
    11,971.98x = 135,399,653.81
  5. Step 5: Solve for x
    x = 135,399,653.81/11,971.98
  6. Step 6: Final answer
    x = 11,309.71

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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.