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Finding the Fourth Proportional to 9,968.50, 14,953.99 and 3,394.18

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Solution

The fourth proportional to 9,968.50, 14,953.99 and 3,394.18 is: 5,091.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968.50 : 14,953.99 = 3,394.18 : x
  2. Step 2: Convert to fraction form
    9,968.50/14,953.99 = 3,394.18/x
  3. Step 3: Cross multiply
    9,968.50x = 14,953.99 × 3,394.18
  4. Step 4: Simplify right side
    9,968.50x = 50,756,533.78
  5. Step 5: Solve for x
    x = 50,756,533.78/9,968.50
  6. Step 6: Final answer
    x = 5,091.69

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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.