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Finding the Fourth Proportional to 6,608.50, 9,914.40 and 1,991.50

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Solution

The fourth proportional to 6,608.50, 9,914.40 and 1,991.50 is: 2,987.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,608.50 : 9,914.40 = 1,991.50 : x
  2. Step 2: Convert to fraction form
    6,608.50/9,914.40 = 1,991.50/x
  3. Step 3: Cross multiply
    6,608.50x = 9,914.40 × 1,991.50
  4. Step 4: Simplify right side
    6,608.50x = 19,744,527.60
  5. Step 5: Solve for x
    x = 19,744,527.60/6,608.50
  6. Step 6: Final answer
    x = 2,987.75

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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.