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Finding the Fourth Proportional to 22,776, 34,164 and 6,360

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Solution

The fourth proportional to 22,776, 34,164 and 6,360 is: 9,540

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,776 : 34,164 = 6,360 : x
  2. Step 2: Convert to fraction form
    22,776/34,164 = 6,360/x
  3. Step 3: Cross multiply
    22,776x = 34,164 × 6,360
  4. Step 4: Simplify right side
    22,776x = 217,283,040
  5. Step 5: Solve for x
    x = 217,283,040/22,776
  6. Step 6: Final answer
    x = 9,540

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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.