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Finding the Fourth Proportional to 6,655.44, 9,183.16 and 4,170

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Solution

The fourth proportional to 6,655.44, 9,183.16 and 4,170 is: 5,753.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,655.44 : 9,183.16 = 4,170 : x
  2. Step 2: Convert to fraction form
    6,655.44/9,183.16 = 4,170/x
  3. Step 3: Cross multiply
    6,655.44x = 9,183.16 × 4,170
  4. Step 4: Simplify right side
    6,655.44x = 38,293,777.20
  5. Step 5: Solve for x
    x = 38,293,777.20/6,655.44
  6. Step 6: Final answer
    x = 5,753.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.