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Finding the Fourth Proportional to 22,609.24, 33,902.91 and 7,812.97

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Solution

The fourth proportional to 22,609.24, 33,902.91 and 7,812.97 is: 11,715.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,609.24 : 33,902.91 = 7,812.97 : x
  2. Step 2: Convert to fraction form
    22,609.24/33,902.91 = 7,812.97/x
  3. Step 3: Cross multiply
    22,609.24x = 33,902.91 × 7,812.97
  4. Step 4: Simplify right side
    22,609.24x = 264,882,418.74
  5. Step 5: Solve for x
    x = 264,882,418.74/22,609.24
  6. Step 6: Final answer
    x = 11,715.67

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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.