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Finding the Fourth Proportional to 25,213.88, 37,826.44 and 7,685.08

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Solution

The fourth proportional to 25,213.88, 37,826.44 and 7,685.08 is: 11,529.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,213.88 : 37,826.44 = 7,685.08 : x
  2. Step 2: Convert to fraction form
    25,213.88/37,826.44 = 7,685.08/x
  3. Step 3: Cross multiply
    25,213.88x = 37,826.44 × 7,685.08
  4. Step 4: Simplify right side
    25,213.88x = 290,699,146.96
  5. Step 5: Solve for x
    x = 290,699,146.96/25,213.88
  6. Step 6: Final answer
    x = 11,529.33

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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.