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Finding the Fourth Proportional to 6,645.16, 9,970.62 and 3,563.56

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Solution

The fourth proportional to 6,645.16, 9,970.62 and 3,563.56 is: 5,346.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645.16 : 9,970.62 = 3,563.56 : x
  2. Step 2: Convert to fraction form
    6,645.16/9,970.62 = 3,563.56/x
  3. Step 3: Cross multiply
    6,645.16x = 9,970.62 × 3,563.56
  4. Step 4: Simplify right side
    6,645.16x = 35,530,902.61
  5. Step 5: Solve for x
    x = 35,530,902.61/6,645.16
  6. Step 6: Final answer
    x = 5,346.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.