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Finding the Fourth Proportional to 10,894.50, 16,344.18 and 3,969

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Solution

The fourth proportional to 10,894.50, 16,344.18 and 3,969 is: 5,954.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.50 : 16,344.18 = 3,969 : x
  2. Step 2: Convert to fraction form
    10,894.50/16,344.18 = 3,969/x
  3. Step 3: Cross multiply
    10,894.50x = 16,344.18 × 3,969
  4. Step 4: Simplify right side
    10,894.50x = 64,870,050.42
  5. Step 5: Solve for x
    x = 64,870,050.42/10,894.50
  6. Step 6: Final answer
    x = 5,954.39

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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.