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Finding the Fourth Proportional to 8,383.50, 11,591.07 and 8,016.30

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Solution

The fourth proportional to 8,383.50, 11,591.07 and 8,016.30 is: 11,083.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.50 : 11,591.07 = 8,016.30 : x
  2. Step 2: Convert to fraction form
    8,383.50/11,591.07 = 8,016.30/x
  3. Step 3: Cross multiply
    8,383.50x = 11,591.07 × 8,016.30
  4. Step 4: Simplify right side
    8,383.50x = 92,917,494.44
  5. Step 5: Solve for x
    x = 92,917,494.44/8,383.50
  6. Step 6: Final answer
    x = 11,083.38

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Half scale
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Double scale
Find fourth proportional to 8,384.50, 11,592.45 and 8,017.30
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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.