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Finding the Fourth Proportional to 8,254.98, 12,382.47 and 2,922.12

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Solution

The fourth proportional to 8,254.98, 12,382.47 and 2,922.12 is: 4,383.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254.98 : 12,382.47 = 2,922.12 : x
  2. Step 2: Convert to fraction form
    8,254.98/12,382.47 = 2,922.12/x
  3. Step 3: Cross multiply
    8,254.98x = 12,382.47 × 2,922.12
  4. Step 4: Simplify right side
    8,254.98x = 36,183,063.24
  5. Step 5: Solve for x
    x = 36,183,063.24/8,254.98
  6. Step 6: Final answer
    x = 4,383.18

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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.