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Finding the Fourth Proportional to 11,752.56, 16,218.97 and 6,974.98

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Solution

The fourth proportional to 11,752.56, 16,218.97 and 6,974.98 is: 9,625.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.56 : 16,218.97 = 6,974.98 : x
  2. Step 2: Convert to fraction form
    11,752.56/16,218.97 = 6,974.98/x
  3. Step 3: Cross multiply
    11,752.56x = 16,218.97 × 6,974.98
  4. Step 4: Simplify right side
    11,752.56x = 113,126,933.39
  5. Step 5: Solve for x
    x = 113,126,933.39/11,752.56
  6. Step 6: Final answer
    x = 9,625.73

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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.