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Finding the Fourth Proportional to 7,141.84, 9,855.74 and 3,998

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Solution

The fourth proportional to 7,141.84, 9,855.74 and 3,998 is: 5,517.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.84 : 9,855.74 = 3,998 : x
  2. Step 2: Convert to fraction form
    7,141.84/9,855.74 = 3,998/x
  3. Step 3: Cross multiply
    7,141.84x = 9,855.74 × 3,998
  4. Step 4: Simplify right side
    7,141.84x = 39,403,248.52
  5. Step 5: Solve for x
    x = 39,403,248.52/7,141.84
  6. Step 6: Final answer
    x = 5,517.24

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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.