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Finding the Fourth Proportional to 11,672.36, 16,107.78 and 6,367.16

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Solution

The fourth proportional to 11,672.36, 16,107.78 and 6,367.16 is: 8,786.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,672.36 : 16,107.78 = 6,367.16 : x
  2. Step 2: Convert to fraction form
    11,672.36/16,107.78 = 6,367.16/x
  3. Step 3: Cross multiply
    11,672.36x = 16,107.78 × 6,367.16
  4. Step 4: Simplify right side
    11,672.36x = 102,560,812.50
  5. Step 5: Solve for x
    x = 102,560,812.50/11,672.36
  6. Step 6: Final answer
    x = 8,786.64

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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.