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Finding the Fourth Proportional to 9,778.44, 14,668.89 and 3,202.86

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Solution

The fourth proportional to 9,778.44, 14,668.89 and 3,202.86 is: 4,804.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.44 : 14,668.89 = 3,202.86 : x
  2. Step 2: Convert to fraction form
    9,778.44/14,668.89 = 3,202.86/x
  3. Step 3: Cross multiply
    9,778.44x = 14,668.89 × 3,202.86
  4. Step 4: Simplify right side
    9,778.44x = 46,982,401.03
  5. Step 5: Solve for x
    x = 46,982,401.03/9,778.44
  6. Step 6: Final answer
    x = 4,804.69

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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.