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Finding the Fourth Proportional to 6,136.70, 9,205.05 and 5,618.30

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Solution

The fourth proportional to 6,136.70, 9,205.05 and 5,618.30 is: 8,427.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.70 : 9,205.05 = 5,618.30 : x
  2. Step 2: Convert to fraction form
    6,136.70/9,205.05 = 5,618.30/x
  3. Step 3: Cross multiply
    6,136.70x = 9,205.05 × 5,618.30
  4. Step 4: Simplify right side
    6,136.70x = 51,716,732.42
  5. Step 5: Solve for x
    x = 51,716,732.42/6,136.70
  6. Step 6: Final answer
    x = 8,427.45

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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.