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Finding the Fourth Proportional to 6,136.65, 9,204.98 and 3,670.20

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Solution

The fourth proportional to 6,136.65, 9,204.98 and 3,670.20 is: 5,505.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.65 : 9,204.98 = 3,670.20 : x
  2. Step 2: Convert to fraction form
    6,136.65/9,204.98 = 3,670.20/x
  3. Step 3: Cross multiply
    6,136.65x = 9,204.98 × 3,670.20
  4. Step 4: Simplify right side
    6,136.65x = 33,784,099.25
  5. Step 5: Solve for x
    x = 33,784,099.25/6,136.65
  6. Step 6: Final answer
    x = 5,505.30

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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.