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Finding the Fourth Proportional to 10,287.44, 14,189.44 and 6,310.48

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Solution

The fourth proportional to 10,287.44, 14,189.44 and 6,310.48 is: 8,704.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.44 : 14,189.44 = 6,310.48 : x
  2. Step 2: Convert to fraction form
    10,287.44/14,189.44 = 6,310.48/x
  3. Step 3: Cross multiply
    10,287.44x = 14,189.44 × 6,310.48
  4. Step 4: Simplify right side
    10,287.44x = 89,542,177.33
  5. Step 5: Solve for x
    x = 89,542,177.33/10,287.44
  6. Step 6: Final answer
    x = 8,704.03

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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.