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Finding the Fourth Proportional to 22,832, 34,248 and 6,416

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Solution

The fourth proportional to 22,832, 34,248 and 6,416 is: 9,624

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,832 : 34,248 = 6,416 : x
  2. Step 2: Convert to fraction form
    22,832/34,248 = 6,416/x
  3. Step 3: Cross multiply
    22,832x = 34,248 × 6,416
  4. Step 4: Simplify right side
    22,832x = 219,735,168
  5. Step 5: Solve for x
    x = 219,735,168/22,832
  6. Step 6: Final answer
    x = 9,624

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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.