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Finding the Fourth Proportional to 6,297.76, 9,446.43 and 3,381.76

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Solution

The fourth proportional to 6,297.76, 9,446.43 and 3,381.76 is: 5,072.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.76 : 9,446.43 = 3,381.76 : x
  2. Step 2: Convert to fraction form
    6,297.76/9,446.43 = 3,381.76/x
  3. Step 3: Cross multiply
    6,297.76x = 9,446.43 × 3,381.76
  4. Step 4: Simplify right side
    6,297.76x = 31,945,559.12
  5. Step 5: Solve for x
    x = 31,945,559.12/6,297.76
  6. Step 6: Final answer
    x = 5,072.53

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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.