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Finding the Fourth Proportional to 6,563.86, 9,849.84 and 3,796

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Solution

The fourth proportional to 6,563.86, 9,849.84 and 3,796 is: 5,696.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.86 : 9,849.84 = 3,796 : x
  2. Step 2: Convert to fraction form
    6,563.86/9,849.84 = 3,796/x
  3. Step 3: Cross multiply
    6,563.86x = 9,849.84 × 3,796
  4. Step 4: Simplify right side
    6,563.86x = 37,389,992.64
  5. Step 5: Solve for x
    x = 37,389,992.64/6,563.86
  6. Step 6: Final answer
    x = 5,696.34

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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.