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Finding the Fourth Proportional to 7,096.44, 9,791.82 and 4,611

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Solution

The fourth proportional to 7,096.44, 9,791.82 and 4,611 is: 6,362.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.44 : 9,791.82 = 4,611 : x
  2. Step 2: Convert to fraction form
    7,096.44/9,791.82 = 4,611/x
  3. Step 3: Cross multiply
    7,096.44x = 9,791.82 × 4,611
  4. Step 4: Simplify right side
    7,096.44x = 45,150,082.02
  5. Step 5: Solve for x
    x = 45,150,082.02/7,096.44
  6. Step 6: Final answer
    x = 6,362.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.