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Finding the Fourth Proportional to 29,896.54, 44,847.39 and 7,709.73

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Solution

The fourth proportional to 29,896.54, 44,847.39 and 7,709.73 is: 11,565.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,896.54 : 44,847.39 = 7,709.73 : x
  2. Step 2: Convert to fraction form
    29,896.54/44,847.39 = 7,709.73/x
  3. Step 3: Cross multiply
    29,896.54x = 44,847.39 × 7,709.73
  4. Step 4: Simplify right side
    29,896.54x = 345,761,268.10
  5. Step 5: Solve for x
    x = 345,761,268.10/29,896.54
  6. Step 6: Final answer
    x = 11,565.26

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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.