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Finding the Fourth Proportional to 8,229.51, 12,345.22 and 2,891.05

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Solution

The fourth proportional to 8,229.51, 12,345.22 and 2,891.05 is: 4,336.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.51 : 12,345.22 = 2,891.05 : x
  2. Step 2: Convert to fraction form
    8,229.51/12,345.22 = 2,891.05/x
  3. Step 3: Cross multiply
    8,229.51x = 12,345.22 × 2,891.05
  4. Step 4: Simplify right side
    8,229.51x = 35,690,586.55
  5. Step 5: Solve for x
    x = 35,690,586.55/8,229.51
  6. Step 6: Final answer
    x = 4,336.91

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Half scale
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Double scale
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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.