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Finding the Fourth Proportional to 6,647.46, 9,941.72 and 5,912.24

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Solution

The fourth proportional to 6,647.46, 9,941.72 and 5,912.24 is: 8,842.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.46 : 9,941.72 = 5,912.24 : x
  2. Step 2: Convert to fraction form
    6,647.46/9,941.72 = 5,912.24/x
  3. Step 3: Cross multiply
    6,647.46x = 9,941.72 × 5,912.24
  4. Step 4: Simplify right side
    6,647.46x = 58,777,755.38
  5. Step 5: Solve for x
    x = 58,777,755.38/6,647.46
  6. Step 6: Final answer
    x = 8,842.14

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1.5x scale

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.