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Finding the Fourth Proportional to 25,252.68, 37,879.12 and 7,722.44

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Solution

The fourth proportional to 25,252.68, 37,879.12 and 7,722.44 is: 11,583.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,252.68 : 37,879.12 = 7,722.44 : x
  2. Step 2: Convert to fraction form
    25,252.68/37,879.12 = 7,722.44/x
  3. Step 3: Cross multiply
    25,252.68x = 37,879.12 × 7,722.44
  4. Step 4: Simplify right side
    25,252.68x = 292,519,231.45
  5. Step 5: Solve for x
    x = 292,519,231.45/25,252.68
  6. Step 6: Final answer
    x = 11,583.69

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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.