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Finding the Fourth Proportional to 6,494.09, 9,739.06 and 2,110.49

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Solution

The fourth proportional to 6,494.09, 9,739.06 and 2,110.49 is: 3,165.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.09 : 9,739.06 = 2,110.49 : x
  2. Step 2: Convert to fraction form
    6,494.09/9,739.06 = 2,110.49/x
  3. Step 3: Cross multiply
    6,494.09x = 9,739.06 × 2,110.49
  4. Step 4: Simplify right side
    6,494.09x = 20,554,129.49
  5. Step 5: Solve for x
    x = 20,554,129.49/6,494.09
  6. Step 6: Final answer
    x = 3,165.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.