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Finding the Fourth Proportional to 11,671.93, 16,106.97 and 6,366.73

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Solution

The fourth proportional to 11,671.93, 16,106.97 and 6,366.73 is: 8,785.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,671.93 : 16,106.97 = 6,366.73 : x
  2. Step 2: Convert to fraction form
    11,671.93/16,106.97 = 6,366.73/x
  3. Step 3: Cross multiply
    11,671.93x = 16,106.97 × 6,366.73
  4. Step 4: Simplify right side
    11,671.93x = 102,548,729.11
  5. Step 5: Solve for x
    x = 102,548,729.11/11,671.93
  6. Step 6: Final answer
    x = 8,785.93

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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.