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Finding the Fourth Proportional to 10,891, 16,336.50 and 2,683

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Solution

The fourth proportional to 10,891, 16,336.50 and 2,683 is: 4,024.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,891 : 16,336.50 = 2,683 : x
  2. Step 2: Convert to fraction form
    10,891/16,336.50 = 2,683/x
  3. Step 3: Cross multiply
    10,891x = 16,336.50 × 2,683
  4. Step 4: Simplify right side
    10,891x = 43,830,829.50
  5. Step 5: Solve for x
    x = 43,830,829.50/10,891
  6. Step 6: Final answer
    x = 4,024.50

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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.