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Finding the Fourth Proportional to 22,381, 33,578.82 and 6,798.64

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Solution

The fourth proportional to 22,381, 33,578.82 and 6,798.64 is: 10,200.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,381 : 33,578.82 = 6,798.64 : x
  2. Step 2: Convert to fraction form
    22,381/33,578.82 = 6,798.64/x
  3. Step 3: Cross multiply
    22,381x = 33,578.82 × 6,798.64
  4. Step 4: Simplify right side
    22,381x = 228,290,308.80
  5. Step 5: Solve for x
    x = 228,290,308.80/22,381
  6. Step 6: Final answer
    x = 10,200.18

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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.