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Finding the Fourth Proportional to 11,170, 15,414.60 and 6,202

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Solution

The fourth proportional to 11,170, 15,414.60 and 6,202 is: 8,558.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,170 : 15,414.60 = 6,202 : x
  2. Step 2: Convert to fraction form
    11,170/15,414.60 = 6,202/x
  3. Step 3: Cross multiply
    11,170x = 15,414.60 × 6,202
  4. Step 4: Simplify right side
    11,170x = 95,601,349.20
  5. Step 5: Solve for x
    x = 95,601,349.20/11,170
  6. Step 6: Final answer
    x = 8,558.76

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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.