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Finding the Fourth Proportional to 22,771.98, 34,147.94 and 10,291.50

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Solution

The fourth proportional to 22,771.98, 34,147.94 and 10,291.50 is: 15,432.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,771.98 : 34,147.94 = 10,291.50 : x
  2. Step 2: Convert to fraction form
    22,771.98/34,147.94 = 10,291.50/x
  3. Step 3: Cross multiply
    22,771.98x = 34,147.94 × 10,291.50
  4. Step 4: Simplify right side
    22,771.98x = 351,433,473.05
  5. Step 5: Solve for x
    x = 351,433,473.05/22,771.98
  6. Step 6: Final answer
    x = 15,432.71

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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.