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Finding the Fourth Proportional to 8,324.00, 12,489.27 and 3,945.14

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Solution

The fourth proportional to 8,324.00, 12,489.27 and 3,945.14 is: 5,919.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.00 : 12,489.27 = 3,945.14 : x
  2. Step 2: Convert to fraction form
    8,324.00/12,489.27 = 3,945.14/x
  3. Step 3: Cross multiply
    8,324.00x = 12,489.27 × 3,945.14
  4. Step 4: Simplify right side
    8,324.00x = 49,271,836.48
  5. Step 5: Solve for x
    x = 49,271,836.48/8,324.00
  6. Step 6: Final answer
    x = 5,919.25

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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.