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Finding the Fourth Proportional to 6,266.01, 8,647.89 and 3,578.16

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Solution

The fourth proportional to 6,266.01, 8,647.89 and 3,578.16 is: 4,938.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.01 : 8,647.89 = 3,578.16 : x
  2. Step 2: Convert to fraction form
    6,266.01/8,647.89 = 3,578.16/x
  3. Step 3: Cross multiply
    6,266.01x = 8,647.89 × 3,578.16
  4. Step 4: Simplify right side
    6,266.01x = 30,943,534.08
  5. Step 5: Solve for x
    x = 30,943,534.08/6,266.01
  6. Step 6: Final answer
    x = 4,938.32

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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.