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Finding the Fourth Proportional to 6,365.87, 9,536.50 and 3,584.09

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Solution

The fourth proportional to 6,365.87, 9,536.50 and 3,584.09 is: 5,369.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.87 : 9,536.50 = 3,584.09 : x
  2. Step 2: Convert to fraction form
    6,365.87/9,536.50 = 3,584.09/x
  3. Step 3: Cross multiply
    6,365.87x = 9,536.50 × 3,584.09
  4. Step 4: Simplify right side
    6,365.87x = 34,179,674.29
  5. Step 5: Solve for x
    x = 34,179,674.29/6,365.87
  6. Step 6: Final answer
    x = 5,369.21

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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.