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Finding the Fourth Proportional to 18,584.64, 25,647.84 and 10,200.96

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Solution

The fourth proportional to 18,584.64, 25,647.84 and 10,200.96 is: 14,077.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,584.64 : 25,647.84 = 10,200.96 : x
  2. Step 2: Convert to fraction form
    18,584.64/25,647.84 = 10,200.96/x
  3. Step 3: Cross multiply
    18,584.64x = 25,647.84 × 10,200.96
  4. Step 4: Simplify right side
    18,584.64x = 261,632,589.93
  5. Step 5: Solve for x
    x = 261,632,589.93/18,584.64
  6. Step 6: Final answer
    x = 14,077.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.