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Finding the Fourth Proportional to 11,974.16, 16,524.83 and 6,668.96

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Solution

The fourth proportional to 11,974.16, 16,524.83 and 6,668.96 is: 9,203.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,974.16 : 16,524.83 = 6,668.96 : x
  2. Step 2: Convert to fraction form
    11,974.16/16,524.83 = 6,668.96/x
  3. Step 3: Cross multiply
    11,974.16x = 16,524.83 × 6,668.96
  4. Step 4: Simplify right side
    11,974.16x = 110,203,364.33
  5. Step 5: Solve for x
    x = 110,203,364.33/11,974.16
  6. Step 6: Final answer
    x = 9,203.43

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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.