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Finding the Fourth Proportional to 6,498.81, 9,735.98 and 3,208.05

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Solution

The fourth proportional to 6,498.81, 9,735.98 and 3,208.05 is: 4,806.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.81 : 9,735.98 = 3,208.05 : x
  2. Step 2: Convert to fraction form
    6,498.81/9,735.98 = 3,208.05/x
  3. Step 3: Cross multiply
    6,498.81x = 9,735.98 × 3,208.05
  4. Step 4: Simplify right side
    6,498.81x = 31,233,494.60
  5. Step 5: Solve for x
    x = 31,233,494.60/6,498.81
  6. Step 6: Final answer
    x = 4,806.03

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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.