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Finding the Fourth Proportional to 8,469.60, 12,704.40 and 6,136.80

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Solution

The fourth proportional to 8,469.60, 12,704.40 and 6,136.80 is: 9,205.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469.60 : 12,704.40 = 6,136.80 : x
  2. Step 2: Convert to fraction form
    8,469.60/12,704.40 = 6,136.80/x
  3. Step 3: Cross multiply
    8,469.60x = 12,704.40 × 6,136.80
  4. Step 4: Simplify right side
    8,469.60x = 77,964,361.92
  5. Step 5: Solve for x
    x = 77,964,361.92/8,469.60
  6. Step 6: Final answer
    x = 9,205.20

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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.