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Finding the Fourth Proportional to 6,160.56, 9,233.56 and 2,462

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Solution

The fourth proportional to 6,160.56, 9,233.56 and 2,462 is: 3,690.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,160.56 : 9,233.56 = 2,462 : x
  2. Step 2: Convert to fraction form
    6,160.56/9,233.56 = 2,462/x
  3. Step 3: Cross multiply
    6,160.56x = 9,233.56 × 2,462
  4. Step 4: Simplify right side
    6,160.56x = 22,733,024.72
  5. Step 5: Solve for x
    x = 22,733,024.72/6,160.56
  6. Step 6: Final answer
    x = 3,690.09

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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.