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Finding the Fourth Proportional to 6,986.67, 10,473.53 and 3,696.99

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Solution

The fourth proportional to 6,986.67, 10,473.53 and 3,696.99 is: 5,542.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.67 : 10,473.53 = 3,696.99 : x
  2. Step 2: Convert to fraction form
    6,986.67/10,473.53 = 3,696.99/x
  3. Step 3: Cross multiply
    6,986.67x = 10,473.53 × 3,696.99
  4. Step 4: Simplify right side
    6,986.67x = 38,720,517.19
  5. Step 5: Solve for x
    x = 38,720,517.19/6,986.67
  6. Step 6: Final answer
    x = 5,542.06

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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.