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Finding the Fourth Proportional to 6,675, 9,997.58 and 4,721.24

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Solution

The fourth proportional to 6,675, 9,997.58 and 4,721.24 is: 7,071.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,675 : 9,997.58 = 4,721.24 : x
  2. Step 2: Convert to fraction form
    6,675/9,997.58 = 4,721.24/x
  3. Step 3: Cross multiply
    6,675x = 9,997.58 × 4,721.24
  4. Step 4: Simplify right side
    6,675x = 47,200,974.60
  5. Step 5: Solve for x
    x = 47,200,974.60/6,675
  6. Step 6: Final answer
    x = 7,071.31

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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.