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Finding the Fourth Proportional to 6,176.24, 9,267.48 and 3,098

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Solution

The fourth proportional to 6,176.24, 9,267.48 and 3,098 is: 4,648.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.24 : 9,267.48 = 3,098 : x
  2. Step 2: Convert to fraction form
    6,176.24/9,267.48 = 3,098/x
  3. Step 3: Cross multiply
    6,176.24x = 9,267.48 × 3,098
  4. Step 4: Simplify right side
    6,176.24x = 28,710,653.04
  5. Step 5: Solve for x
    x = 28,710,653.04/6,176.24
  6. Step 6: Final answer
    x = 4,648.56

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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.