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Finding the Fourth Proportional to 6,135.18, 9,197.90 and 2,670

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Solution

The fourth proportional to 6,135.18, 9,197.90 and 2,670 is: 4,002.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,135.18 : 9,197.90 = 2,670 : x
  2. Step 2: Convert to fraction form
    6,135.18/9,197.90 = 2,670/x
  3. Step 3: Cross multiply
    6,135.18x = 9,197.90 × 2,670
  4. Step 4: Simplify right side
    6,135.18x = 24,558,379.65
  5. Step 5: Solve for x
    x = 24,558,379.65/6,135.18
  6. Step 6: Final answer
    x = 4,002.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.