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Finding the Fourth Proportional to 6,498.36, 9,749.16 and 2,116.26

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Solution

The fourth proportional to 6,498.36, 9,749.16 and 2,116.26 is: 3,174.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.36 : 9,749.16 = 2,116.26 : x
  2. Step 2: Convert to fraction form
    6,498.36/9,749.16 = 2,116.26/x
  3. Step 3: Cross multiply
    6,498.36x = 9,749.16 × 2,116.26
  4. Step 4: Simplify right side
    6,498.36x = 20,631,757.34
  5. Step 5: Solve for x
    x = 20,631,757.34/6,498.36
  6. Step 6: Final answer
    x = 3,174.92

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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.