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Finding the Fourth Proportional to 5,921.22, 8,161 and 4,325.25

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Solution

The fourth proportional to 5,921.22, 8,161 and 4,325.25 is: 5,961.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,921.22 : 8,161 = 4,325.25 : x
  2. Step 2: Convert to fraction form
    5,921.22/8,161 = 4,325.25/x
  3. Step 3: Cross multiply
    5,921.22x = 8,161 × 4,325.25
  4. Step 4: Simplify right side
    5,921.22x = 35,298,365.25
  5. Step 5: Solve for x
    x = 35,298,365.25/5,921.22
  6. Step 6: Final answer
    x = 5,961.33

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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.