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Finding the Fourth Proportional to 6,593.54, 9,890.62 and 3,669.65

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Solution

The fourth proportional to 6,593.54, 9,890.62 and 3,669.65 is: 5,504.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593.54 : 9,890.62 = 3,669.65 : x
  2. Step 2: Convert to fraction form
    6,593.54/9,890.62 = 3,669.65/x
  3. Step 3: Cross multiply
    6,593.54x = 9,890.62 × 3,669.65
  4. Step 4: Simplify right side
    6,593.54x = 36,295,055.06
  5. Step 5: Solve for x
    x = 36,295,055.06/6,593.54
  6. Step 6: Final answer
    x = 5,504.64

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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.