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Finding the Fourth Proportional to 6,956.16, 9,601.28 and 4,302

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Solution

The fourth proportional to 6,956.16, 9,601.28 and 4,302 is: 5,937.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.16 : 9,601.28 = 4,302 : x
  2. Step 2: Convert to fraction form
    6,956.16/9,601.28 = 4,302/x
  3. Step 3: Cross multiply
    6,956.16x = 9,601.28 × 4,302
  4. Step 4: Simplify right side
    6,956.16x = 41,304,706.56
  5. Step 5: Solve for x
    x = 41,304,706.56/6,956.16
  6. Step 6: Final answer
    x = 5,937.86

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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.