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Finding the Fourth Proportional to 20,275, 30,412.50 and 6,424

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Solution

The fourth proportional to 20,275, 30,412.50 and 6,424 is: 9,636

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,275 : 30,412.50 = 6,424 : x
  2. Step 2: Convert to fraction form
    20,275/30,412.50 = 6,424/x
  3. Step 3: Cross multiply
    20,275x = 30,412.50 × 6,424
  4. Step 4: Simplify right side
    20,275x = 195,369,900
  5. Step 5: Solve for x
    x = 195,369,900/20,275
  6. Step 6: Final answer
    x = 9,636

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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.