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Finding the Fourth Proportional to 6,266.97, 8,648.37 and 3,434.35

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Solution

The fourth proportional to 6,266.97, 8,648.37 and 3,434.35 is: 4,739.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.97 : 8,648.37 = 3,434.35 : x
  2. Step 2: Convert to fraction form
    6,266.97/8,648.37 = 3,434.35/x
  3. Step 3: Cross multiply
    6,266.97x = 8,648.37 × 3,434.35
  4. Step 4: Simplify right side
    6,266.97x = 29,701,524.10
  5. Step 5: Solve for x
    x = 29,701,524.10/6,266.97
  6. Step 6: Final answer
    x = 4,739.38

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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.