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Finding the Fourth Proportional to 8,584.73, 12,812.72 and 8,024.22

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Solution

The fourth proportional to 8,584.73, 12,812.72 and 8,024.22 is: 11,976.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.73 : 12,812.72 = 8,024.22 : x
  2. Step 2: Convert to fraction form
    8,584.73/12,812.72 = 8,024.22/x
  3. Step 3: Cross multiply
    8,584.73x = 12,812.72 × 8,024.22
  4. Step 4: Simplify right side
    8,584.73x = 102,812,043.96
  5. Step 5: Solve for x
    x = 102,812,043.96/8,584.73
  6. Step 6: Final answer
    x = 11,976.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.