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Finding the Fourth Proportional to 29,120, 43,680 and 9,664

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Solution

The fourth proportional to 29,120, 43,680 and 9,664 is: 14,496

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,120 : 43,680 = 9,664 : x
  2. Step 2: Convert to fraction form
    29,120/43,680 = 9,664/x
  3. Step 3: Cross multiply
    29,120x = 43,680 × 9,664
  4. Step 4: Simplify right side
    29,120x = 422,123,520
  5. Step 5: Solve for x
    x = 422,123,520/29,120
  6. Step 6: Final answer
    x = 14,496

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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.