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Finding the Fourth Proportional to 6,504.69, 9,744.78 and 3,213.93

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Solution

The fourth proportional to 6,504.69, 9,744.78 and 3,213.93 is: 4,814.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.69 : 9,744.78 = 3,213.93 : x
  2. Step 2: Convert to fraction form
    6,504.69/9,744.78 = 3,213.93/x
  3. Step 3: Cross multiply
    6,504.69x = 9,744.78 × 3,213.93
  4. Step 4: Simplify right side
    6,504.69x = 31,319,040.79
  5. Step 5: Solve for x
    x = 31,319,040.79/6,504.69
  6. Step 6: Final answer
    x = 4,814.84

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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.