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Finding the Fourth Proportional to 25,182, 37,762.92 and 7,648.56

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Solution

The fourth proportional to 25,182, 37,762.92 and 7,648.56 is: 11,469.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,182 : 37,762.92 = 7,648.56 : x
  2. Step 2: Convert to fraction form
    25,182/37,762.92 = 7,648.56/x
  3. Step 3: Cross multiply
    25,182x = 37,762.92 × 7,648.56
  4. Step 4: Simplify right side
    25,182x = 288,831,959.40
  5. Step 5: Solve for x
    x = 288,831,959.40/25,182
  6. Step 6: Final answer
    x = 11,469.78

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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.