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Finding the Fourth Proportional to 16,321, 24,481.44 and 4,634.22

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Solution

The fourth proportional to 16,321, 24,481.44 and 4,634.22 is: 6,951.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,321 : 24,481.44 = 4,634.22 : x
  2. Step 2: Convert to fraction form
    16,321/24,481.44 = 4,634.22/x
  3. Step 3: Cross multiply
    16,321x = 24,481.44 × 4,634.22
  4. Step 4: Simplify right side
    16,321x = 113,452,378.88
  5. Step 5: Solve for x
    x = 113,452,378.88/16,321
  6. Step 6: Final answer
    x = 6,951.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.