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Finding the Fourth Proportional to 24,640, 36,960.81 and 6,172

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Solution

The fourth proportional to 24,640, 36,960.81 and 6,172 is: 9,258.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,640 : 36,960.81 = 6,172 : x
  2. Step 2: Convert to fraction form
    24,640/36,960.81 = 6,172/x
  3. Step 3: Cross multiply
    24,640x = 36,960.81 × 6,172
  4. Step 4: Simplify right side
    24,640x = 228,122,119.32
  5. Step 5: Solve for x
    x = 228,122,119.32/24,640
  6. Step 6: Final answer
    x = 9,258.20

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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.