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Finding the Fourth Proportional to 8,229.54, 11,362.99 and 8,213.13

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Solution

The fourth proportional to 8,229.54, 11,362.99 and 8,213.13 is: 11,340.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.54 : 11,362.99 = 8,213.13 : x
  2. Step 2: Convert to fraction form
    8,229.54/11,362.99 = 8,213.13/x
  3. Step 3: Cross multiply
    8,229.54x = 11,362.99 × 8,213.13
  4. Step 4: Simplify right side
    8,229.54x = 93,325,714.06
  5. Step 5: Solve for x
    x = 93,325,714.06/8,229.54
  6. Step 6: Final answer
    x = 11,340.33

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Half scale
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Double scale
Find fourth proportional to 8,230.54, 11,364.37 and 8,214.13
Similar ratio
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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.