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Finding the Fourth Proportional to 31,684, 47,526 and 9,796

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Solution

The fourth proportional to 31,684, 47,526 and 9,796 is: 14,694

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,684 : 47,526 = 9,796 : x
  2. Step 2: Convert to fraction form
    31,684/47,526 = 9,796/x
  3. Step 3: Cross multiply
    31,684x = 47,526 × 9,796
  4. Step 4: Simplify right side
    31,684x = 465,564,696
  5. Step 5: Solve for x
    x = 465,564,696/31,684
  6. Step 6: Final answer
    x = 14,694

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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.