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Finding the Fourth Proportional to 7,174.98, 9,907.38 and 6,808.05

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Solution

The fourth proportional to 7,174.98, 9,907.38 and 6,808.05 is: 9,400.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.98 : 9,907.38 = 6,808.05 : x
  2. Step 2: Convert to fraction form
    7,174.98/9,907.38 = 6,808.05/x
  3. Step 3: Cross multiply
    7,174.98x = 9,907.38 × 6,808.05
  4. Step 4: Simplify right side
    7,174.98x = 67,449,938.41
  5. Step 5: Solve for x
    x = 67,449,938.41/7,174.98
  6. Step 6: Final answer
    x = 9,400.71

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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.