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Finding the Fourth Proportional to 6,998.64, 9,659.04 and 4,013.88

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Solution

The fourth proportional to 6,998.64, 9,659.04 and 4,013.88 is: 5,539.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.64 : 9,659.04 = 4,013.88 : x
  2. Step 2: Convert to fraction form
    6,998.64/9,659.04 = 4,013.88/x
  3. Step 3: Cross multiply
    6,998.64x = 9,659.04 × 4,013.88
  4. Step 4: Simplify right side
    6,998.64x = 38,770,227.48
  5. Step 5: Solve for x
    x = 38,770,227.48/6,998.64
  6. Step 6: Final answer
    x = 5,539.68

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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.