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Finding the Fourth Proportional to 6,906.98, 9,531.74 and 3,763.17

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Solution

The fourth proportional to 6,906.98, 9,531.74 and 3,763.17 is: 5,193.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.98 : 9,531.74 = 3,763.17 : x
  2. Step 2: Convert to fraction form
    6,906.98/9,531.74 = 3,763.17/x
  3. Step 3: Cross multiply
    6,906.98x = 9,531.74 × 3,763.17
  4. Step 4: Simplify right side
    6,906.98x = 35,869,567.42
  5. Step 5: Solve for x
    x = 35,869,567.42/6,906.98
  6. Step 6: Final answer
    x = 5,193.23

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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.