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Finding the Fourth Proportional to 11,902.92, 16,427 and 6,599.44

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Solution

The fourth proportional to 11,902.92, 16,427 and 6,599.44 is: 9,107.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.92 : 16,427 = 6,599.44 : x
  2. Step 2: Convert to fraction form
    11,902.92/16,427 = 6,599.44/x
  3. Step 3: Cross multiply
    11,902.92x = 16,427 × 6,599.44
  4. Step 4: Simplify right side
    11,902.92x = 108,409,000.88
  5. Step 5: Solve for x
    x = 108,409,000.88/11,902.92
  6. Step 6: Final answer
    x = 9,107.77

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1.5x scale

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.