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Finding the Fourth Proportional to 6,653.69, 9,986.67 and 3,369.08

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Solution

The fourth proportional to 6,653.69, 9,986.67 and 3,369.08 is: 5,056.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,653.69 : 9,986.67 = 3,369.08 : x
  2. Step 2: Convert to fraction form
    6,653.69/9,986.67 = 3,369.08/x
  3. Step 3: Cross multiply
    6,653.69x = 9,986.67 × 3,369.08
  4. Step 4: Simplify right side
    6,653.69x = 33,645,915.13
  5. Step 5: Solve for x
    x = 33,645,915.13/6,653.69
  6. Step 6: Final answer
    x = 5,056.73

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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.