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Finding the Fourth Proportional to 11,896.70, 17,843.12 and 4,499.40

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Solution

The fourth proportional to 11,896.70, 17,843.12 and 4,499.40 is: 6,748.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.70 : 17,843.12 = 4,499.40 : x
  2. Step 2: Convert to fraction form
    11,896.70/17,843.12 = 4,499.40/x
  3. Step 3: Cross multiply
    11,896.70x = 17,843.12 × 4,499.40
  4. Step 4: Simplify right side
    11,896.70x = 80,283,311.63
  5. Step 5: Solve for x
    x = 80,283,311.63/11,896.70
  6. Step 6: Final answer
    x = 6,748.37

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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.