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Finding the Fourth Proportional to 8,596.20, 12,894.30 and 3,664.56

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Solution

The fourth proportional to 8,596.20, 12,894.30 and 3,664.56 is: 5,496.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.20 : 12,894.30 = 3,664.56 : x
  2. Step 2: Convert to fraction form
    8,596.20/12,894.30 = 3,664.56/x
  3. Step 3: Cross multiply
    8,596.20x = 12,894.30 × 3,664.56
  4. Step 4: Simplify right side
    8,596.20x = 47,251,936.01
  5. Step 5: Solve for x
    x = 47,251,936.01/8,596.20
  6. Step 6: Final answer
    x = 5,496.84

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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.