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Finding the Fourth Proportional to 6,739.98, 10,110.30 and 3,967.98

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Solution

The fourth proportional to 6,739.98, 10,110.30 and 3,967.98 is: 5,952.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,739.98 : 10,110.30 = 3,967.98 : x
  2. Step 2: Convert to fraction form
    6,739.98/10,110.30 = 3,967.98/x
  3. Step 3: Cross multiply
    6,739.98x = 10,110.30 × 3,967.98
  4. Step 4: Simplify right side
    6,739.98x = 40,117,468.19
  5. Step 5: Solve for x
    x = 40,117,468.19/6,739.98
  6. Step 6: Final answer
    x = 5,952.16

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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.