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Finding the Fourth Proportional to 22,784, 34,177.28 and 6,369.28

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Solution

The fourth proportional to 22,784, 34,177.28 and 6,369.28 is: 9,554.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,784 : 34,177.28 = 6,369.28 : x
  2. Step 2: Convert to fraction form
    22,784/34,177.28 = 6,369.28/x
  3. Step 3: Cross multiply
    22,784x = 34,177.28 × 6,369.28
  4. Step 4: Simplify right side
    22,784x = 217,684,665.96
  5. Step 5: Solve for x
    x = 217,684,665.96/22,784
  6. Step 6: Final answer
    x = 9,554.28

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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.