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Finding the Fourth Proportional to 11,896.56, 17,847.54 and 8,200.26

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Solution

The fourth proportional to 11,896.56, 17,847.54 and 8,200.26 is: 12,302.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.56 : 17,847.54 = 8,200.26 : x
  2. Step 2: Convert to fraction form
    11,896.56/17,847.54 = 8,200.26/x
  3. Step 3: Cross multiply
    11,896.56x = 17,847.54 × 8,200.26
  4. Step 4: Simplify right side
    11,896.56x = 146,354,468.36
  5. Step 5: Solve for x
    x = 146,354,468.36/11,896.56
  6. Step 6: Final answer
    x = 12,302.25

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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.