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Finding the Fourth Proportional to 4,691.70, 6,471.54 and 3,696.66

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Solution

The fourth proportional to 4,691.70, 6,471.54 and 3,696.66 is: 5,099.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.70 : 6,471.54 = 3,696.66 : x
  2. Step 2: Convert to fraction form
    4,691.70/6,471.54 = 3,696.66/x
  3. Step 3: Cross multiply
    4,691.70x = 6,471.54 × 3,696.66
  4. Step 4: Simplify right side
    4,691.70x = 23,923,083.06
  5. Step 5: Solve for x
    x = 23,923,083.06/4,691.70
  6. Step 6: Final answer
    x = 5,099.02

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1.5x scale

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.