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Finding the Fourth Proportional to 14,800, 22,200 and 3,856

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Solution

The fourth proportional to 14,800, 22,200 and 3,856 is: 5,784

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,800 : 22,200 = 3,856 : x
  2. Step 2: Convert to fraction form
    14,800/22,200 = 3,856/x
  3. Step 3: Cross multiply
    14,800x = 22,200 × 3,856
  4. Step 4: Simplify right side
    14,800x = 85,603,200
  5. Step 5: Solve for x
    x = 85,603,200/14,800
  6. Step 6: Final answer
    x = 5,784

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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.