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Finding the Fourth Proportional to 8,494.84, 12,734.58 and 3,021.56

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Solution

The fourth proportional to 8,494.84, 12,734.58 and 3,021.56 is: 4,529.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.84 : 12,734.58 = 3,021.56 : x
  2. Step 2: Convert to fraction form
    8,494.84/12,734.58 = 3,021.56/x
  3. Step 3: Cross multiply
    8,494.84x = 12,734.58 × 3,021.56
  4. Step 4: Simplify right side
    8,494.84x = 38,478,297.54
  5. Step 5: Solve for x
    x = 38,478,297.54/8,494.84
  6. Step 6: Final answer
    x = 4,529.61

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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.