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Finding the Fourth Proportional to 5,706.14, 7,844.24 and 4,906.52

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Solution

The fourth proportional to 5,706.14, 7,844.24 and 4,906.52 is: 6,745.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.14 : 7,844.24 = 4,906.52 : x
  2. Step 2: Convert to fraction form
    5,706.14/7,844.24 = 4,906.52/x
  3. Step 3: Cross multiply
    5,706.14x = 7,844.24 × 4,906.52
  4. Step 4: Simplify right side
    5,706.14x = 38,487,920.44
  5. Step 5: Solve for x
    x = 38,487,920.44/5,706.14
  6. Step 6: Final answer
    x = 6,745.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.