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Finding the Fourth Proportional to 8,297.84, 12,449.50 and 3,914.73

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Solution

The fourth proportional to 8,297.84, 12,449.50 and 3,914.73 is: 5,873.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.84 : 12,449.50 = 3,914.73 : x
  2. Step 2: Convert to fraction form
    8,297.84/12,449.50 = 3,914.73/x
  3. Step 3: Cross multiply
    8,297.84x = 12,449.50 × 3,914.73
  4. Step 4: Simplify right side
    8,297.84x = 48,736,421.35
  5. Step 5: Solve for x
    x = 48,736,421.35/8,297.84
  6. Step 6: Final answer
    x = 5,873.38

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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.