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Finding the Fourth Proportional to 6,073.87, 8,381.90 and 3,422.13

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Solution

The fourth proportional to 6,073.87, 8,381.90 and 3,422.13 is: 4,722.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,073.87 : 8,381.90 = 3,422.13 : x
  2. Step 2: Convert to fraction form
    6,073.87/8,381.90 = 3,422.13/x
  3. Step 3: Cross multiply
    6,073.87x = 8,381.90 × 3,422.13
  4. Step 4: Simplify right side
    6,073.87x = 28,683,951.45
  5. Step 5: Solve for x
    x = 28,683,951.45/6,073.87
  6. Step 6: Final answer
    x = 4,722.52

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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.