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Finding the Fourth Proportional to 9,906.36, 13,675.13 and 6,933.86

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Solution

The fourth proportional to 9,906.36, 13,675.13 and 6,933.86 is: 9,571.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.36 : 13,675.13 = 6,933.86 : x
  2. Step 2: Convert to fraction form
    9,906.36/13,675.13 = 6,933.86/x
  3. Step 3: Cross multiply
    9,906.36x = 13,675.13 × 6,933.86
  4. Step 4: Simplify right side
    9,906.36x = 94,821,402.23
  5. Step 5: Solve for x
    x = 94,821,402.23/9,906.36
  6. Step 6: Final answer
    x = 9,571.78

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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.