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Finding the Fourth Proportional to 22,771.92, 34,158.91 and 6,975.80

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Solution

The fourth proportional to 22,771.92, 34,158.91 and 6,975.80 is: 10,464.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,771.92 : 34,158.91 = 6,975.80 : x
  2. Step 2: Convert to fraction form
    22,771.92/34,158.91 = 6,975.80/x
  3. Step 3: Cross multiply
    22,771.92x = 34,158.91 × 6,975.80
  4. Step 4: Simplify right side
    22,771.92x = 238,285,825.03
  5. Step 5: Solve for x
    x = 238,285,825.03/22,771.92
  6. Step 6: Final answer
    x = 10,464.02

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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.