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Finding the Fourth Proportional to 6,610, 9,918.84 and 2,962

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Solution

The fourth proportional to 6,610, 9,918.84 and 2,962 is: 4,444.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,610 : 9,918.84 = 2,962 : x
  2. Step 2: Convert to fraction form
    6,610/9,918.84 = 2,962/x
  3. Step 3: Cross multiply
    6,610x = 9,918.84 × 2,962
  4. Step 4: Simplify right side
    6,610x = 29,379,604.08
  5. Step 5: Solve for x
    x = 29,379,604.08/6,610
  6. Step 6: Final answer
    x = 4,444.72

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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.