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Finding the Fourth Proportional to 8,224.64, 12,317.52 and 6,481.52

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Solution

The fourth proportional to 8,224.64, 12,317.52 and 6,481.52 is: 9,706.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.64 : 12,317.52 = 6,481.52 : x
  2. Step 2: Convert to fraction form
    8,224.64/12,317.52 = 6,481.52/x
  3. Step 3: Cross multiply
    8,224.64x = 12,317.52 × 6,481.52
  4. Step 4: Simplify right side
    8,224.64x = 79,836,252.23
  5. Step 5: Solve for x
    x = 79,836,252.23/8,224.64
  6. Step 6: Final answer
    x = 9,706.96

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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.