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Finding the Fourth Proportional to 22,609.50, 33,915.21 and 6,193.50

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Solution

The fourth proportional to 22,609.50, 33,915.21 and 6,193.50 is: 9,290.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,609.50 : 33,915.21 = 6,193.50 : x
  2. Step 2: Convert to fraction form
    22,609.50/33,915.21 = 6,193.50/x
  3. Step 3: Cross multiply
    22,609.50x = 33,915.21 × 6,193.50
  4. Step 4: Simplify right side
    22,609.50x = 210,053,853.14
  5. Step 5: Solve for x
    x = 210,053,853.14/22,609.50
  6. Step 6: Final answer
    x = 9,290.51

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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.