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Finding the Fourth Proportional to 8,371.48, 12,548.46 and 3,983.68

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Solution

The fourth proportional to 8,371.48, 12,548.46 and 3,983.68 is: 5,971.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,371.48 : 12,548.46 = 3,983.68 : x
  2. Step 2: Convert to fraction form
    8,371.48/12,548.46 = 3,983.68/x
  3. Step 3: Cross multiply
    8,371.48x = 12,548.46 × 3,983.68
  4. Step 4: Simplify right side
    8,371.48x = 49,989,049.13
  5. Step 5: Solve for x
    x = 49,989,049.13/8,371.48
  6. Step 6: Final answer
    x = 5,971.35

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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.