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Finding the Fourth Proportional to 25,213.78, 37,826.31 and 7,684.98

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Solution

The fourth proportional to 25,213.78, 37,826.31 and 7,684.98 is: 11,529.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,213.78 : 37,826.31 = 7,684.98 : x
  2. Step 2: Convert to fraction form
    25,213.78/37,826.31 = 7,684.98/x
  3. Step 3: Cross multiply
    25,213.78x = 37,826.31 × 7,684.98
  4. Step 4: Simplify right side
    25,213.78x = 290,694,435.82
  5. Step 5: Solve for x
    x = 290,694,435.82/25,213.78
  6. Step 6: Final answer
    x = 11,529.19

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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.