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Finding the Fourth Proportional to 6,906.16, 9,531.10 and 3,881.24

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Solution

The fourth proportional to 6,906.16, 9,531.10 and 3,881.24 is: 5,356.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.16 : 9,531.10 = 3,881.24 : x
  2. Step 2: Convert to fraction form
    6,906.16/9,531.10 = 3,881.24/x
  3. Step 3: Cross multiply
    6,906.16x = 9,531.10 × 3,881.24
  4. Step 4: Simplify right side
    6,906.16x = 36,992,486.56
  5. Step 5: Solve for x
    x = 36,992,486.56/6,906.16
  6. Step 6: Final answer
    x = 5,356.45

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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.