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Finding the Fourth Proportional to 6,664.50, 9,996.84 and 2,047.50

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Solution

The fourth proportional to 6,664.50, 9,996.84 and 2,047.50 is: 3,071.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664.50 : 9,996.84 = 2,047.50 : x
  2. Step 2: Convert to fraction form
    6,664.50/9,996.84 = 2,047.50/x
  3. Step 3: Cross multiply
    6,664.50x = 9,996.84 × 2,047.50
  4. Step 4: Simplify right side
    6,664.50x = 20,468,529.90
  5. Step 5: Solve for x
    x = 20,468,529.90/6,664.50
  6. Step 6: Final answer
    x = 3,071.28

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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.