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Finding the Fourth Proportional to 8,396.91, 11,586.78 and 4,859.46

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Solution

The fourth proportional to 8,396.91, 11,586.78 and 4,859.46 is: 6,705.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396.91 : 11,586.78 = 4,859.46 : x
  2. Step 2: Convert to fraction form
    8,396.91/11,586.78 = 4,859.46/x
  3. Step 3: Cross multiply
    8,396.91x = 11,586.78 × 4,859.46
  4. Step 4: Simplify right side
    8,396.91x = 56,305,493.94
  5. Step 5: Solve for x
    x = 56,305,493.94/8,396.91
  6. Step 6: Final answer
    x = 6,705.50

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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.