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Finding the Fourth Proportional to 6,384.98, 9,578.22 and 2,381.78

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Solution

The fourth proportional to 6,384.98, 9,578.22 and 2,381.78 is: 3,572.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.98 : 9,578.22 = 2,381.78 : x
  2. Step 2: Convert to fraction form
    6,384.98/9,578.22 = 2,381.78/x
  3. Step 3: Cross multiply
    6,384.98x = 9,578.22 × 2,381.78
  4. Step 4: Simplify right side
    6,384.98x = 22,813,212.83
  5. Step 5: Solve for x
    x = 22,813,212.83/6,384.98
  6. Step 6: Final answer
    x = 3,572.95

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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.