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Finding the Fourth Proportional to 6,680, 9,220.56 and 4,196

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Solution

The fourth proportional to 6,680, 9,220.56 and 4,196 is: 5,791.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680 : 9,220.56 = 4,196 : x
  2. Step 2: Convert to fraction form
    6,680/9,220.56 = 4,196/x
  3. Step 3: Cross multiply
    6,680x = 9,220.56 × 4,196
  4. Step 4: Simplify right side
    6,680x = 38,689,469.76
  5. Step 5: Solve for x
    x = 38,689,469.76/6,680
  6. Step 6: Final answer
    x = 5,791.84

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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.