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Finding the Fourth Proportional to 6,384.88, 9,578.22 and 2,684.80

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Solution

The fourth proportional to 6,384.88, 9,578.22 and 2,684.80 is: 4,027.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.88 : 9,578.22 = 2,684.80 : x
  2. Step 2: Convert to fraction form
    6,384.88/9,578.22 = 2,684.80/x
  3. Step 3: Cross multiply
    6,384.88x = 9,578.22 × 2,684.80
  4. Step 4: Simplify right side
    6,384.88x = 25,715,605.06
  5. Step 5: Solve for x
    x = 25,715,605.06/6,384.88
  6. Step 6: Final answer
    x = 4,027.58

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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.