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Finding the Fourth Proportional to 6,266.94, 8,647.98 and 3,578.46

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Solution

The fourth proportional to 6,266.94, 8,647.98 and 3,578.46 is: 4,938.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.94 : 8,647.98 = 3,578.46 : x
  2. Step 2: Convert to fraction form
    6,266.94/8,647.98 = 3,578.46/x
  3. Step 3: Cross multiply
    6,266.94x = 8,647.98 × 3,578.46
  4. Step 4: Simplify right side
    6,266.94x = 30,946,473.44
  5. Step 5: Solve for x
    x = 30,946,473.44/6,266.94
  6. Step 6: Final answer
    x = 4,938.05

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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.