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Finding the Fourth Proportional to 6,998.60, 9,655.60 and 4,481.12

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Solution

The fourth proportional to 6,998.60, 9,655.60 and 4,481.12 is: 6,182.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.60 : 9,655.60 = 4,481.12 : x
  2. Step 2: Convert to fraction form
    6,998.60/9,655.60 = 4,481.12/x
  3. Step 3: Cross multiply
    6,998.60x = 9,655.60 × 4,481.12
  4. Step 4: Simplify right side
    6,998.60x = 43,267,902.27
  5. Step 5: Solve for x
    x = 43,267,902.27/6,998.60
  6. Step 6: Final answer
    x = 6,182.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.