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Finding the Fourth Proportional to 25,282, 37,923 and 6,814

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Solution

The fourth proportional to 25,282, 37,923 and 6,814 is: 10,221

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,282 : 37,923 = 6,814 : x
  2. Step 2: Convert to fraction form
    25,282/37,923 = 6,814/x
  3. Step 3: Cross multiply
    25,282x = 37,923 × 6,814
  4. Step 4: Simplify right side
    25,282x = 258,407,322
  5. Step 5: Solve for x
    x = 258,407,322/25,282
  6. Step 6: Final answer
    x = 10,221

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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.