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Finding the Fourth Proportional to 11,672.46, 16,108.22 and 6,367.47

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Solution

The fourth proportional to 11,672.46, 16,108.22 and 6,367.47 is: 8,787.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,672.46 : 16,108.22 = 6,367.47 : x
  2. Step 2: Convert to fraction form
    11,672.46/16,108.22 = 6,367.47/x
  3. Step 3: Cross multiply
    11,672.46x = 16,108.22 × 6,367.47
  4. Step 4: Simplify right side
    11,672.46x = 102,568,607.60
  5. Step 5: Solve for x
    x = 102,568,607.60/11,672.46
  6. Step 6: Final answer
    x = 8,787.23

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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.