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Finding the Fourth Proportional to 6,136.26, 9,202.26 and 5,742.60

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Solution

The fourth proportional to 6,136.26, 9,202.26 and 5,742.60 is: 8,611.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.26 : 9,202.26 = 5,742.60 : x
  2. Step 2: Convert to fraction form
    6,136.26/9,202.26 = 5,742.60/x
  3. Step 3: Cross multiply
    6,136.26x = 9,202.26 × 5,742.60
  4. Step 4: Simplify right side
    6,136.26x = 52,844,898.28
  5. Step 5: Solve for x
    x = 52,844,898.28/6,136.26
  6. Step 6: Final answer
    x = 8,611.91

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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.