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Finding the Fourth Proportional to 8,249.46, 12,371.07 and 2,983.08

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Solution

The fourth proportional to 8,249.46, 12,371.07 and 2,983.08 is: 4,473.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249.46 : 12,371.07 = 2,983.08 : x
  2. Step 2: Convert to fraction form
    8,249.46/12,371.07 = 2,983.08/x
  3. Step 3: Cross multiply
    8,249.46x = 12,371.07 × 2,983.08
  4. Step 4: Simplify right side
    8,249.46x = 36,903,891.50
  5. Step 5: Solve for x
    x = 36,903,891.50/8,249.46
  6. Step 6: Final answer
    x = 4,473.49

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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.