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Finding the Fourth Proportional to 6,770.08, 10,158 and 4,462.24

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Solution

The fourth proportional to 6,770.08, 10,158 and 4,462.24 is: 6,695.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,770.08 : 10,158 = 4,462.24 : x
  2. Step 2: Convert to fraction form
    6,770.08/10,158 = 4,462.24/x
  3. Step 3: Cross multiply
    6,770.08x = 10,158 × 4,462.24
  4. Step 4: Simplify right side
    6,770.08x = 45,327,433.92
  5. Step 5: Solve for x
    x = 45,327,433.92/6,770.08
  6. Step 6: Final answer
    x = 6,695.26

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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.