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Finding the Fourth Proportional to 6,561.86, 9,846.84 and 3,794

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Solution

The fourth proportional to 6,561.86, 9,846.84 and 3,794 is: 5,693.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.86 : 9,846.84 = 3,794 : x
  2. Step 2: Convert to fraction form
    6,561.86/9,846.84 = 3,794/x
  3. Step 3: Cross multiply
    6,561.86x = 9,846.84 × 3,794
  4. Step 4: Simplify right side
    6,561.86x = 37,358,910.96
  5. Step 5: Solve for x
    x = 37,358,910.96/6,561.86
  6. Step 6: Final answer
    x = 5,693.34

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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.