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Finding the Fourth Proportional to 9,969.86, 13,747.17 and 6,380.12

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Solution

The fourth proportional to 9,969.86, 13,747.17 and 6,380.12 is: 8,797.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.86 : 13,747.17 = 6,380.12 : x
  2. Step 2: Convert to fraction form
    9,969.86/13,747.17 = 6,380.12/x
  3. Step 3: Cross multiply
    9,969.86x = 13,747.17 × 6,380.12
  4. Step 4: Simplify right side
    9,969.86x = 87,708,594.26
  5. Step 5: Solve for x
    x = 87,708,594.26/9,969.86
  6. Step 6: Final answer
    x = 8,797.37

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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.