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Finding the Fourth Proportional to 11,650, 17,477.96 and 3,442

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Solution

The fourth proportional to 11,650, 17,477.96 and 3,442 is: 5,163.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650 : 17,477.96 = 3,442 : x
  2. Step 2: Convert to fraction form
    11,650/17,477.96 = 3,442/x
  3. Step 3: Cross multiply
    11,650x = 17,477.96 × 3,442
  4. Step 4: Simplify right side
    11,650x = 60,159,138.32
  5. Step 5: Solve for x
    x = 60,159,138.32/11,650
  6. Step 6: Final answer
    x = 5,163.87

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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.