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Finding the Fourth Proportional to 6,894.09, 9,512.24 and 3,909.24

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Solution

The fourth proportional to 6,894.09, 9,512.24 and 3,909.24 is: 5,393.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.09 : 9,512.24 = 3,909.24 : x
  2. Step 2: Convert to fraction form
    6,894.09/9,512.24 = 3,909.24/x
  3. Step 3: Cross multiply
    6,894.09x = 9,512.24 × 3,909.24
  4. Step 4: Simplify right side
    6,894.09x = 37,185,609.55
  5. Step 5: Solve for x
    x = 37,185,609.55/6,894.09
  6. Step 6: Final answer
    x = 5,393.84

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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.