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Finding the Fourth Proportional to 6,998.00, 10,496.62 and 2,615.12

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Solution

The fourth proportional to 6,998.00, 10,496.62 and 2,615.12 is: 3,922.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.00 : 10,496.62 = 2,615.12 : x
  2. Step 2: Convert to fraction form
    6,998.00/10,496.62 = 2,615.12/x
  3. Step 3: Cross multiply
    6,998.00x = 10,496.62 × 2,615.12
  4. Step 4: Simplify right side
    6,998.00x = 27,449,911.04
  5. Step 5: Solve for x
    x = 27,449,911.04/6,998.00
  6. Step 6: Final answer
    x = 3,922.54

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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.