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Finding the Fourth Proportional to 6,487.04, 9,733.64 and 3,365.37

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Solution

The fourth proportional to 6,487.04, 9,733.64 and 3,365.37 is: 5,049.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,487.04 : 9,733.64 = 3,365.37 : x
  2. Step 2: Convert to fraction form
    6,487.04/9,733.64 = 3,365.37/x
  3. Step 3: Cross multiply
    6,487.04x = 9,733.64 × 3,365.37
  4. Step 4: Simplify right side
    6,487.04x = 32,757,283.22
  5. Step 5: Solve for x
    x = 32,757,283.22/6,487.04
  6. Step 6: Final answer
    x = 5,049.65

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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.