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Finding the Fourth Proportional to 22,377, 33,568.74 and 6,794.64

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Solution

The fourth proportional to 22,377, 33,568.74 and 6,794.64 is: 10,192.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,377 : 33,568.74 = 6,794.64 : x
  2. Step 2: Convert to fraction form
    22,377/33,568.74 = 6,794.64/x
  3. Step 3: Cross multiply
    22,377x = 33,568.74 × 6,794.64
  4. Step 4: Simplify right side
    22,377x = 228,087,503.55
  5. Step 5: Solve for x
    x = 228,087,503.55/22,377
  6. Step 6: Final answer
    x = 10,192.94

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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.