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Finding the Fourth Proportional to 6,699.47, 10,049.29 and 3,189.81

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Solution

The fourth proportional to 6,699.47, 10,049.29 and 3,189.81 is: 4,784.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,699.47 : 10,049.29 = 3,189.81 : x
  2. Step 2: Convert to fraction form
    6,699.47/10,049.29 = 3,189.81/x
  3. Step 3: Cross multiply
    6,699.47x = 10,049.29 × 3,189.81
  4. Step 4: Simplify right side
    6,699.47x = 32,055,325.73
  5. Step 5: Solve for x
    x = 32,055,325.73/6,699.47
  6. Step 6: Final answer
    x = 4,784.76

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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.