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Finding the Fourth Proportional to 7,898.50, 11,849 and 2,968.52

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Solution

The fourth proportional to 7,898.50, 11,849 and 2,968.52 is: 4,453.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898.50 : 11,849 = 2,968.52 : x
  2. Step 2: Convert to fraction form
    7,898.50/11,849 = 2,968.52/x
  3. Step 3: Cross multiply
    7,898.50x = 11,849 × 2,968.52
  4. Step 4: Simplify right side
    7,898.50x = 35,173,993.48
  5. Step 5: Solve for x
    x = 35,173,993.48/7,898.50
  6. Step 6: Final answer
    x = 4,453.25

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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.