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Finding the Fourth Proportional to 16,220.25, 22,383.95 and 8,768.25

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Solution

The fourth proportional to 16,220.25, 22,383.95 and 8,768.25 is: 12,100.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,220.25 : 22,383.95 = 8,768.25 : x
  2. Step 2: Convert to fraction form
    16,220.25/22,383.95 = 8,768.25/x
  3. Step 3: Cross multiply
    16,220.25x = 22,383.95 × 8,768.25
  4. Step 4: Simplify right side
    16,220.25x = 196,268,025.75
  5. Step 5: Solve for x
    x = 196,268,025.75/16,220.25
  6. Step 6: Final answer
    x = 12,100.19

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Half scale
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Double 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.