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Finding the Fourth Proportional to 9,680, 14,522.16 and 3,524

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Solution

The fourth proportional to 9,680, 14,522.16 and 3,524 is: 5,286.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,680 : 14,522.16 = 3,524 : x
  2. Step 2: Convert to fraction form
    9,680/14,522.16 = 3,524/x
  3. Step 3: Cross multiply
    9,680x = 14,522.16 × 3,524
  4. Step 4: Simplify right side
    9,680x = 51,176,091.84
  5. Step 5: Solve for x
    x = 51,176,091.84/9,680
  6. Step 6: Final answer
    x = 5,286.79

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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.