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Finding the Fourth Proportional to 8,297.70, 12,446.55 and 3,364.80

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Solution

The fourth proportional to 8,297.70, 12,446.55 and 3,364.80 is: 5,047.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.70 : 12,446.55 = 3,364.80 : x
  2. Step 2: Convert to fraction form
    8,297.70/12,446.55 = 3,364.80/x
  3. Step 3: Cross multiply
    8,297.70x = 12,446.55 × 3,364.80
  4. Step 4: Simplify right side
    8,297.70x = 41,880,151.44
  5. Step 5: Solve for x
    x = 41,880,151.44/8,297.70
  6. Step 6: Final answer
    x = 5,047.20

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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.