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Finding the Fourth Proportional to 11,671.74, 16,106.85 and 6,366.44

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Solution

The fourth proportional to 11,671.74, 16,106.85 and 6,366.44 is: 8,785.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,671.74 : 16,106.85 = 6,366.44 : x
  2. Step 2: Convert to fraction form
    11,671.74/16,106.85 = 6,366.44/x
  3. Step 3: Cross multiply
    11,671.74x = 16,106.85 × 6,366.44
  4. Step 4: Simplify right side
    11,671.74x = 102,543,334.38
  5. Step 5: Solve for x
    x = 102,543,334.38/11,671.74
  6. Step 6: Final answer
    x = 8,785.61

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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.