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Finding the Fourth Proportional to 8,097.61, 12,146.43 and 2,254.22

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Solution

The fourth proportional to 8,097.61, 12,146.43 and 2,254.22 is: 3,381.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.61 : 12,146.43 = 2,254.22 : x
  2. Step 2: Convert to fraction form
    8,097.61/12,146.43 = 2,254.22/x
  3. Step 3: Cross multiply
    8,097.61x = 12,146.43 × 2,254.22
  4. Step 4: Simplify right side
    8,097.61x = 27,380,725.43
  5. Step 5: Solve for x
    x = 27,380,725.43/8,097.61
  6. Step 6: Final answer
    x = 3,381.33

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Similar ratio
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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.