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Finding the Fourth Proportional to 22,927.75, 34,396.78 and 8,136.64

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Solution

The fourth proportional to 22,927.75, 34,396.78 and 8,136.64 is: 12,206.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,927.75 : 34,396.78 = 8,136.64 : x
  2. Step 2: Convert to fraction form
    22,927.75/34,396.78 = 8,136.64/x
  3. Step 3: Cross multiply
    22,927.75x = 34,396.78 × 8,136.64
  4. Step 4: Simplify right side
    22,927.75x = 279,874,216.02
  5. Step 5: Solve for x
    x = 279,874,216.02/22,927.75
  6. Step 6: Final answer
    x = 12,206.79

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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.