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Finding the Fourth Proportional to 6,647.56, 9,977.42 and 3,362.96

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Solution

The fourth proportional to 6,647.56, 9,977.42 and 3,362.96 is: 5,047.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.56 : 9,977.42 = 3,362.96 : x
  2. Step 2: Convert to fraction form
    6,647.56/9,977.42 = 3,362.96/x
  3. Step 3: Cross multiply
    6,647.56x = 9,977.42 × 3,362.96
  4. Step 4: Simplify right side
    6,647.56x = 33,553,664.36
  5. Step 5: Solve for x
    x = 33,553,664.36/6,647.56
  6. Step 6: Final answer
    x = 5,047.52

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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.