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Finding the Fourth Proportional to 6,699.48, 10,049.30 and 3,189.82

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Solution

The fourth proportional to 6,699.48, 10,049.30 and 3,189.82 is: 4,784.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,699.48 : 10,049.30 = 3,189.82 : x
  2. Step 2: Convert to fraction form
    6,699.48/10,049.30 = 3,189.82/x
  3. Step 3: Cross multiply
    6,699.48x = 10,049.30 × 3,189.82
  4. Step 4: Simplify right side
    6,699.48x = 32,055,458.13
  5. Step 5: Solve for x
    x = 32,055,458.13/6,699.48
  6. Step 6: Final answer
    x = 4,784.77

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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.