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Finding the Fourth Proportional to 8,467.91, 12,709.67 and 4,310.91

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Solution

The fourth proportional to 8,467.91, 12,709.67 and 4,310.91 is: 6,470.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,467.91 : 12,709.67 = 4,310.91 : x
  2. Step 2: Convert to fraction form
    8,467.91/12,709.67 = 4,310.91/x
  3. Step 3: Cross multiply
    8,467.91x = 12,709.67 × 4,310.91
  4. Step 4: Simplify right side
    8,467.91x = 54,790,221.95
  5. Step 5: Solve for x
    x = 54,790,221.95/8,467.91
  6. Step 6: Final answer
    x = 6,470.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.