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Finding the Fourth Proportional to 6,776.12, 10,165.42 and 3,078.62

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Solution

The fourth proportional to 6,776.12, 10,165.42 and 3,078.62 is: 4,618.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.12 : 10,165.42 = 3,078.62 : x
  2. Step 2: Convert to fraction form
    6,776.12/10,165.42 = 3,078.62/x
  3. Step 3: Cross multiply
    6,776.12x = 10,165.42 × 3,078.62
  4. Step 4: Simplify right side
    6,776.12x = 31,295,494.58
  5. Step 5: Solve for x
    x = 31,295,494.58/6,776.12
  6. Step 6: Final answer
    x = 4,618.50

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Why These Related Problems?

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