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Finding the Fourth Proportional to 6,776.94, 10,175.74 and 6,442.82

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Solution

The fourth proportional to 6,776.94, 10,175.74 and 6,442.82 is: 9,674.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.94 : 10,175.74 = 6,442.82 : x
  2. Step 2: Convert to fraction form
    6,776.94/10,175.74 = 6,442.82/x
  3. Step 3: Cross multiply
    6,776.94x = 10,175.74 × 6,442.82
  4. Step 4: Simplify right side
    6,776.94x = 65,560,394.20
  5. Step 5: Solve for x
    x = 65,560,394.20/6,776.94
  6. Step 6: Final answer
    x = 9,674.04

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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.