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Finding the Fourth Proportional to 23,827.71, 35,727.89 and 9,027.20

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Solution

The fourth proportional to 23,827.71, 35,727.89 and 9,027.20 is: 13,535.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,827.71 : 35,727.89 = 9,027.20 : x
  2. Step 2: Convert to fraction form
    23,827.71/35,727.89 = 9,027.20/x
  3. Step 3: Cross multiply
    23,827.71x = 35,727.89 × 9,027.20
  4. Step 4: Simplify right side
    23,827.71x = 322,522,584.83
  5. Step 5: Solve for x
    x = 322,522,584.83/23,827.71
  6. Step 6: Final answer
    x = 13,535.61

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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.