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Finding the Fourth Proportional to 9,664, 14,498.16 and 3,508

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Solution

The fourth proportional to 9,664, 14,498.16 and 3,508 is: 5,262.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664 : 14,498.16 = 3,508 : x
  2. Step 2: Convert to fraction form
    9,664/14,498.16 = 3,508/x
  3. Step 3: Cross multiply
    9,664x = 14,498.16 × 3,508
  4. Step 4: Simplify right side
    9,664x = 50,859,545.28
  5. Step 5: Solve for x
    x = 50,859,545.28/9,664
  6. Step 6: Final answer
    x = 5,262.78

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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.