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Finding the Fourth Proportional to 9,941.50, 14,912.61 and 3,016

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Solution

The fourth proportional to 9,941.50, 14,912.61 and 3,016 is: 4,524.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,941.50 : 14,912.61 = 3,016 : x
  2. Step 2: Convert to fraction form
    9,941.50/14,912.61 = 3,016/x
  3. Step 3: Cross multiply
    9,941.50x = 14,912.61 × 3,016
  4. Step 4: Simplify right side
    9,941.50x = 44,976,431.76
  5. Step 5: Solve for x
    x = 44,976,431.76/9,941.50
  6. Step 6: Final answer
    x = 4,524.11

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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.