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Finding the Fourth Proportional to 25,657, 38,486.94 and 7,190.44

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Solution

The fourth proportional to 25,657, 38,486.94 and 7,190.44 is: 10,786.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,657 : 38,486.94 = 7,190.44 : x
  2. Step 2: Convert to fraction form
    25,657/38,486.94 = 7,190.44/x
  3. Step 3: Cross multiply
    25,657x = 38,486.94 × 7,190.44
  4. Step 4: Simplify right side
    25,657x = 276,738,032.85
  5. Step 5: Solve for x
    x = 276,738,032.85/25,657
  6. Step 6: Final answer
    x = 10,786.06

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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.