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Finding the Fourth Proportional to 9,893.98, 14,847 and 5,150.62

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Solution

The fourth proportional to 9,893.98, 14,847 and 5,150.62 is: 7,729.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.98 : 14,847 = 5,150.62 : x
  2. Step 2: Convert to fraction form
    9,893.98/14,847 = 5,150.62/x
  3. Step 3: Cross multiply
    9,893.98x = 14,847 × 5,150.62
  4. Step 4: Simplify right side
    9,893.98x = 76,471,255.14
  5. Step 5: Solve for x
    x = 76,471,255.14/9,893.98
  6. Step 6: Final answer
    x = 7,729.07

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1.5x scale

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.