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Finding the Fourth Proportional to 6,653.99, 9,182.26 and 3,669.48

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Solution

The fourth proportional to 6,653.99, 9,182.26 and 3,669.48 is: 5,063.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,653.99 : 9,182.26 = 3,669.48 : x
  2. Step 2: Convert to fraction form
    6,653.99/9,182.26 = 3,669.48/x
  3. Step 3: Cross multiply
    6,653.99x = 9,182.26 × 3,669.48
  4. Step 4: Simplify right side
    6,653.99x = 33,694,124.01
  5. Step 5: Solve for x
    x = 33,694,124.01/6,653.99
  6. Step 6: Final answer
    x = 5,063.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.