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Finding the Fourth Proportional to 9,708.86, 13,383.97 and 6,867.48

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Solution

The fourth proportional to 9,708.86, 13,383.97 and 6,867.48 is: 9,467.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.86 : 13,383.97 = 6,867.48 : x
  2. Step 2: Convert to fraction form
    9,708.86/13,383.97 = 6,867.48/x
  3. Step 3: Cross multiply
    9,708.86x = 13,383.97 × 6,867.48
  4. Step 4: Simplify right side
    9,708.86x = 91,914,179.32
  5. Step 5: Solve for x
    x = 91,914,179.32/9,708.86
  6. Step 6: Final answer
    x = 9,467.04

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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.