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Finding the Fourth Proportional to 6,297.50, 8,635.29 and 6,133.48

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Solution

The fourth proportional to 6,297.50, 8,635.29 and 6,133.48 is: 8,410.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.50 : 8,635.29 = 6,133.48 : x
  2. Step 2: Convert to fraction form
    6,297.50/8,635.29 = 6,133.48/x
  3. Step 3: Cross multiply
    6,297.50x = 8,635.29 × 6,133.48
  4. Step 4: Simplify right side
    6,297.50x = 52,964,304.67
  5. Step 5: Solve for x
    x = 52,964,304.67/6,297.50
  6. Step 6: Final answer
    x = 8,410.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.