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Finding the Fourth Proportional to 22,740, 34,110 and 6,324

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Solution

The fourth proportional to 22,740, 34,110 and 6,324 is: 9,486

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,740 : 34,110 = 6,324 : x
  2. Step 2: Convert to fraction form
    22,740/34,110 = 6,324/x
  3. Step 3: Cross multiply
    22,740x = 34,110 × 6,324
  4. Step 4: Simplify right side
    22,740x = 215,711,640
  5. Step 5: Solve for x
    x = 215,711,640/22,740
  6. Step 6: Final answer
    x = 9,486

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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.