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Finding the Fourth Proportional to 6,838.67, 10,257.06 and 2,455.49

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Solution

The fourth proportional to 6,838.67, 10,257.06 and 2,455.49 is: 3,682.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.67 : 10,257.06 = 2,455.49 : x
  2. Step 2: Convert to fraction form
    6,838.67/10,257.06 = 2,455.49/x
  3. Step 3: Cross multiply
    6,838.67x = 10,257.06 × 2,455.49
  4. Step 4: Simplify right side
    6,838.67x = 25,186,108.26
  5. Step 5: Solve for x
    x = 25,186,108.26/6,838.67
  6. Step 6: Final answer
    x = 3,682.90

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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.