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Finding the Fourth Proportional to 6,608.04, 9,912.05 and 3,646.34

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Solution

The fourth proportional to 6,608.04, 9,912.05 and 3,646.34 is: 5,469.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,608.04 : 9,912.05 = 3,646.34 : x
  2. Step 2: Convert to fraction form
    6,608.04/9,912.05 = 3,646.34/x
  3. Step 3: Cross multiply
    6,608.04x = 9,912.05 × 3,646.34
  4. Step 4: Simplify right side
    6,608.04x = 36,142,704.40
  5. Step 5: Solve for x
    x = 36,142,704.40/6,608.04
  6. Step 6: Final answer
    x = 5,469.50

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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.