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Finding the Fourth Proportional to 8,467.70, 12,709.43 and 4,310.82

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Solution

The fourth proportional to 8,467.70, 12,709.43 and 4,310.82 is: 6,470.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,467.70 : 12,709.43 = 4,310.82 : x
  2. Step 2: Convert to fraction form
    8,467.70/12,709.43 = 4,310.82/x
  3. Step 3: Cross multiply
    8,467.70x = 12,709.43 × 4,310.82
  4. Step 4: Simplify right side
    8,467.70x = 54,788,071.77
  5. Step 5: Solve for x
    x = 54,788,071.77/8,467.70
  6. Step 6: Final answer
    x = 6,470.24

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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.