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Finding the Fourth Proportional to 6,963.84, 10,446.17 and 2,522.48

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Solution

The fourth proportional to 6,963.84, 10,446.17 and 2,522.48 is: 3,783.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,963.84 : 10,446.17 = 2,522.48 : x
  2. Step 2: Convert to fraction form
    6,963.84/10,446.17 = 2,522.48/x
  3. Step 3: Cross multiply
    6,963.84x = 10,446.17 × 2,522.48
  4. Step 4: Simplify right side
    6,963.84x = 26,350,190.06
  5. Step 5: Solve for x
    x = 26,350,190.06/6,963.84
  6. Step 6: Final answer
    x = 3,783.86

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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.