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Finding the Fourth Proportional to 10,589.69, 15,887.10 and 3,193.70

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Solution

The fourth proportional to 10,589.69, 15,887.10 and 3,193.70 is: 4,791.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.69 : 15,887.10 = 3,193.70 : x
  2. Step 2: Convert to fraction form
    10,589.69/15,887.10 = 3,193.70/x
  3. Step 3: Cross multiply
    10,589.69x = 15,887.10 × 3,193.70
  4. Step 4: Simplify right side
    10,589.69x = 50,738,635.21
  5. Step 5: Solve for x
    x = 50,738,635.21/10,589.69
  6. Step 6: Final answer
    x = 4,791.32

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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.