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Finding the Fourth Proportional to 8,321.70, 11,481.16 and 5,339.15

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Solution

The fourth proportional to 8,321.70, 11,481.16 and 5,339.15 is: 7,366.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,321.70 : 11,481.16 = 5,339.15 : x
  2. Step 2: Convert to fraction form
    8,321.70/11,481.16 = 5,339.15/x
  3. Step 3: Cross multiply
    8,321.70x = 11,481.16 × 5,339.15
  4. Step 4: Simplify right side
    8,321.70x = 61,299,635.41
  5. Step 5: Solve for x
    x = 61,299,635.41/8,321.70
  6. Step 6: Final answer
    x = 7,366.24

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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.