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Finding the Fourth Proportional to 11,652.87, 17,446.73 and 6,296.86

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Solution

The fourth proportional to 11,652.87, 17,446.73 and 6,296.86 is: 9,427.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.87 : 17,446.73 = 6,296.86 : x
  2. Step 2: Convert to fraction form
    11,652.87/17,446.73 = 6,296.86/x
  3. Step 3: Cross multiply
    11,652.87x = 17,446.73 × 6,296.86
  4. Step 4: Simplify right side
    11,652.87x = 109,859,616.27
  5. Step 5: Solve for x
    x = 109,859,616.27/11,652.87
  6. Step 6: Final answer
    x = 9,427.69

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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.