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Finding the Fourth Proportional to 9,998.30, 13,797.76 and 5,521.97

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Solution

The fourth proportional to 9,998.30, 13,797.76 and 5,521.97 is: 7,620.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,998.30 : 13,797.76 = 5,521.97 : x
  2. Step 2: Convert to fraction form
    9,998.30/13,797.76 = 5,521.97/x
  3. Step 3: Cross multiply
    9,998.30x = 13,797.76 × 5,521.97
  4. Step 4: Simplify right side
    9,998.30x = 76,190,816.79
  5. Step 5: Solve for x
    x = 76,190,816.79/9,998.30
  6. Step 6: Final answer
    x = 7,620.38

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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.