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Finding the Fourth Proportional to 8,065.77, 12,098.54 and 3,906.15

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Solution

The fourth proportional to 8,065.77, 12,098.54 and 3,906.15 is: 5,859.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,065.77 : 12,098.54 = 3,906.15 : x
  2. Step 2: Convert to fraction form
    8,065.77/12,098.54 = 3,906.15/x
  3. Step 3: Cross multiply
    8,065.77x = 12,098.54 × 3,906.15
  4. Step 4: Simplify right side
    8,065.77x = 47,258,712.02
  5. Step 5: Solve for x
    x = 47,258,712.02/8,065.77
  6. Step 6: Final answer
    x = 5,859.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.