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Finding the Fourth Proportional to 8,297.22, 12,446 and 2,453.84

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Solution

The fourth proportional to 8,297.22, 12,446 and 2,453.84 is: 3,680.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.22 : 12,446 = 2,453.84 : x
  2. Step 2: Convert to fraction form
    8,297.22/12,446 = 2,453.84/x
  3. Step 3: Cross multiply
    8,297.22x = 12,446 × 2,453.84
  4. Step 4: Simplify right side
    8,297.22x = 30,540,492.64
  5. Step 5: Solve for x
    x = 30,540,492.64/8,297.22
  6. Step 6: Final answer
    x = 3,680.81

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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.