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Finding the Fourth Proportional to 14,600, 20,148 and 7,976

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Solution

The fourth proportional to 14,600, 20,148 and 7,976 is: 11,006.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,600 : 20,148 = 7,976 : x
  2. Step 2: Convert to fraction form
    14,600/20,148 = 7,976/x
  3. Step 3: Cross multiply
    14,600x = 20,148 × 7,976
  4. Step 4: Simplify right side
    14,600x = 160,700,448
  5. Step 5: Solve for x
    x = 160,700,448/14,600
  6. Step 6: Final answer
    x = 11,006.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.