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Finding the Fourth Proportional to 6,684.99, 10,028.87 and 2,004.81

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Solution

The fourth proportional to 6,684.99, 10,028.87 and 2,004.81 is: 3,007.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.99 : 10,028.87 = 2,004.81 : x
  2. Step 2: Convert to fraction form
    6,684.99/10,028.87 = 2,004.81/x
  3. Step 3: Cross multiply
    6,684.99x = 10,028.87 × 2,004.81
  4. Step 4: Simplify right side
    6,684.99x = 20,105,968.84
  5. Step 5: Solve for x
    x = 20,105,968.84/6,684.99
  6. Step 6: Final answer
    x = 3,007.63

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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.