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Finding the Fourth Proportional to 9,998, 13,797.24 and 5,582

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Solution

The fourth proportional to 9,998, 13,797.24 and 5,582 is: 7,703.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,998 : 13,797.24 = 5,582 : x
  2. Step 2: Convert to fraction form
    9,998/13,797.24 = 5,582/x
  3. Step 3: Cross multiply
    9,998x = 13,797.24 × 5,582
  4. Step 4: Simplify right side
    9,998x = 77,016,193.68
  5. Step 5: Solve for x
    x = 77,016,193.68/9,998
  6. Step 6: Final answer
    x = 7,703.16

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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.