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Finding the Fourth Proportional to 4,843.39, 7,266 and 1,723.06

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Solution

The fourth proportional to 4,843.39, 7,266 and 1,723.06 is: 2,584.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.39 : 7,266 = 1,723.06 : x
  2. Step 2: Convert to fraction form
    4,843.39/7,266 = 1,723.06/x
  3. Step 3: Cross multiply
    4,843.39x = 7,266 × 1,723.06
  4. Step 4: Simplify right side
    4,843.39x = 12,519,753.96
  5. Step 5: Solve for x
    x = 12,519,753.96/4,843.39
  6. Step 6: Final answer
    x = 2,584.92

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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.