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Finding the Fourth Proportional to 16,220.52, 22,384.28 and 8,768.52

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Solution

The fourth proportional to 16,220.52, 22,384.28 and 8,768.52 is: 12,100.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,220.52 : 22,384.28 = 8,768.52 : x
  2. Step 2: Convert to fraction form
    16,220.52/22,384.28 = 8,768.52/x
  3. Step 3: Cross multiply
    16,220.52x = 22,384.28 × 8,768.52
  4. Step 4: Simplify right side
    16,220.52x = 196,277,006.87
  5. Step 5: Solve for x
    x = 196,277,006.87/16,220.52
  6. Step 6: Final answer
    x = 12,100.54

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.