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Finding the Fourth Proportional to 22,383, 33,581.82 and 6,800.64

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Solution

The fourth proportional to 22,383, 33,581.82 and 6,800.64 is: 10,203.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,383 : 33,581.82 = 6,800.64 : x
  2. Step 2: Convert to fraction form
    22,383/33,581.82 = 6,800.64/x
  3. Step 3: Cross multiply
    22,383x = 33,581.82 × 6,800.64
  4. Step 4: Simplify right side
    22,383x = 228,377,868.36
  5. Step 5: Solve for x
    x = 228,377,868.36/22,383
  6. Step 6: Final answer
    x = 10,203.18

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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.