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Finding the Fourth Proportional to 11,098.96, 16,644.96 and 3,200.92

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Solution

The fourth proportional to 11,098.96, 16,644.96 and 3,200.92 is: 4,800.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,098.96 : 16,644.96 = 3,200.92 : x
  2. Step 2: Convert to fraction form
    11,098.96/16,644.96 = 3,200.92/x
  3. Step 3: Cross multiply
    11,098.96x = 16,644.96 × 3,200.92
  4. Step 4: Simplify right side
    11,098.96x = 53,279,185.36
  5. Step 5: Solve for x
    x = 53,279,185.36/11,098.96
  6. Step 6: Final answer
    x = 4,800.38

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1.5x scale

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.