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Finding the Fourth Proportional to 10,694.70, 15,998.85 and 9,249.90

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Solution

The fourth proportional to 10,694.70, 15,998.85 and 9,249.90 is: 13,837.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.70 : 15,998.85 = 9,249.90 : x
  2. Step 2: Convert to fraction form
    10,694.70/15,998.85 = 9,249.90/x
  3. Step 3: Cross multiply
    10,694.70x = 15,998.85 × 9,249.90
  4. Step 4: Simplify right side
    10,694.70x = 147,987,762.62
  5. Step 5: Solve for x
    x = 147,987,762.62/10,694.70
  6. Step 6: Final answer
    x = 13,837.49

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Double scale
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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.