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Finding the Fourth Proportional to 7,092.40, 10,691.71 and 6,616.66

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Solution

The fourth proportional to 7,092.40, 10,691.71 and 6,616.66 is: 9,974.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092.40 : 10,691.71 = 6,616.66 : x
  2. Step 2: Convert to fraction form
    7,092.40/10,691.71 = 6,616.66/x
  3. Step 3: Cross multiply
    7,092.40x = 10,691.71 × 6,616.66
  4. Step 4: Simplify right side
    7,092.40x = 70,743,409.89
  5. Step 5: Solve for x
    x = 70,743,409.89/7,092.40
  6. Step 6: Final answer
    x = 9,974.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.