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Finding the Fourth Proportional to 6,469.46, 8,927.85 and 3,674.96

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Solution

The fourth proportional to 6,469.46, 8,927.85 and 3,674.96 is: 5,071.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.46 : 8,927.85 = 3,674.96 : x
  2. Step 2: Convert to fraction form
    6,469.46/8,927.85 = 3,674.96/x
  3. Step 3: Cross multiply
    6,469.46x = 8,927.85 × 3,674.96
  4. Step 4: Simplify right side
    6,469.46x = 32,809,447.00
  5. Step 5: Solve for x
    x = 32,809,447.00/6,469.46
  6. Step 6: Final answer
    x = 5,071.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.