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Finding the Fourth Proportional to 8,097.94, 12,146.90 and 2,254.70

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Solution

The fourth proportional to 8,097.94, 12,146.90 and 2,254.70 is: 3,382.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.94 : 12,146.90 = 2,254.70 : x
  2. Step 2: Convert to fraction form
    8,097.94/12,146.90 = 2,254.70/x
  3. Step 3: Cross multiply
    8,097.94x = 12,146.90 × 2,254.70
  4. Step 4: Simplify right side
    8,097.94x = 27,387,615.43
  5. Step 5: Solve for x
    x = 27,387,615.43/8,097.94
  6. Step 6: Final answer
    x = 3,382.05

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Double scale
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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.