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Finding the Fourth Proportional to 18,584.88, 25,647 and 10,201.20

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Solution

The fourth proportional to 18,584.88, 25,647 and 10,201.20 is: 14,077.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,584.88 : 25,647 = 10,201.20 : x
  2. Step 2: Convert to fraction form
    18,584.88/25,647 = 10,201.20/x
  3. Step 3: Cross multiply
    18,584.88x = 25,647 × 10,201.20
  4. Step 4: Simplify right side
    18,584.88x = 261,630,176.40
  5. Step 5: Solve for x
    x = 261,630,176.40/18,584.88
  6. Step 6: Final answer
    x = 14,077.58

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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.