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Finding the Fourth Proportional to 6,485.00, 9,736.54 and 3,324.65

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Solution

The fourth proportional to 6,485.00, 9,736.54 and 3,324.65 is: 4,991.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.00 : 9,736.54 = 3,324.65 : x
  2. Step 2: Convert to fraction form
    6,485.00/9,736.54 = 3,324.65/x
  3. Step 3: Cross multiply
    6,485.00x = 9,736.54 × 3,324.65
  4. Step 4: Simplify right side
    6,485.00x = 32,370,530.72
  5. Step 5: Solve for x
    x = 32,370,530.72/6,485.00
  6. Step 6: Final answer
    x = 4,991.60

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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.