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Finding the Fourth Proportional to 6,136.70, 9,205.05 and 3,504.20

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Solution

The fourth proportional to 6,136.70, 9,205.05 and 3,504.20 is: 5,256.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.70 : 9,205.05 = 3,504.20 : x
  2. Step 2: Convert to fraction form
    6,136.70/9,205.05 = 3,504.20/x
  3. Step 3: Cross multiply
    6,136.70x = 9,205.05 × 3,504.20
  4. Step 4: Simplify right side
    6,136.70x = 32,256,336.21
  5. Step 5: Solve for x
    x = 32,256,336.21/6,136.70
  6. Step 6: Final answer
    x = 5,256.30

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Similar ratio
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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.