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Finding the Fourth Proportional to 6,906.75, 9,531.42 and 3,762.94

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Solution

The fourth proportional to 6,906.75, 9,531.42 and 3,762.94 is: 5,192.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.75 : 9,531.42 = 3,762.94 : x
  2. Step 2: Convert to fraction form
    6,906.75/9,531.42 = 3,762.94/x
  3. Step 3: Cross multiply
    6,906.75x = 9,531.42 × 3,762.94
  4. Step 4: Simplify right side
    6,906.75x = 35,866,137.75
  5. Step 5: Solve for x
    x = 35,866,137.75/6,906.75
  6. Step 6: Final answer
    x = 5,192.91

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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.