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Finding the Fourth Proportional to 25,825.37, 38,724.62 and 9,182.99

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Solution

The fourth proportional to 25,825.37, 38,724.62 and 9,182.99 is: 13,769.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,825.37 : 38,724.62 = 9,182.99 : x
  2. Step 2: Convert to fraction form
    25,825.37/38,724.62 = 9,182.99/x
  3. Step 3: Cross multiply
    25,825.37x = 38,724.62 × 9,182.99
  4. Step 4: Simplify right side
    25,825.37x = 355,607,917.98
  5. Step 5: Solve for x
    x = 355,607,917.98/25,825.37
  6. Step 6: Final answer
    x = 13,769.71

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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.