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Finding the Fourth Proportional to 9,258.92, 12,781.46 and 5,906.22

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Solution

The fourth proportional to 9,258.92, 12,781.46 and 5,906.22 is: 8,153.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,258.92 : 12,781.46 = 5,906.22 : x
  2. Step 2: Convert to fraction form
    9,258.92/12,781.46 = 5,906.22/x
  3. Step 3: Cross multiply
    9,258.92x = 12,781.46 × 5,906.22
  4. Step 4: Simplify right side
    9,258.92x = 75,490,114.68
  5. Step 5: Solve for x
    x = 75,490,114.68/9,258.92
  6. Step 6: Final answer
    x = 8,153.23

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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.