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Finding the Fourth Proportional to 4,843.69, 7,263.01 and 1,723.24

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Solution

The fourth proportional to 4,843.69, 7,263.01 and 1,723.24 is: 2,583.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.69 : 7,263.01 = 1,723.24 : x
  2. Step 2: Convert to fraction form
    4,843.69/7,263.01 = 1,723.24/x
  3. Step 3: Cross multiply
    4,843.69x = 7,263.01 × 1,723.24
  4. Step 4: Simplify right side
    4,843.69x = 12,515,900.74
  5. Step 5: Solve for x
    x = 12,515,900.74/4,843.69
  6. Step 6: Final answer
    x = 2,583.96

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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.