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Finding the Fourth Proportional to 9,800.54, 14,698.58 and 2,778.96

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Solution

The fourth proportional to 9,800.54, 14,698.58 and 2,778.96 is: 4,167.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.54 : 14,698.58 = 2,778.96 : x
  2. Step 2: Convert to fraction form
    9,800.54/14,698.58 = 2,778.96/x
  3. Step 3: Cross multiply
    9,800.54x = 14,698.58 × 2,778.96
  4. Step 4: Simplify right side
    9,800.54x = 40,846,765.88
  5. Step 5: Solve for x
    x = 40,846,765.88/9,800.54
  6. Step 6: Final answer
    x = 4,167.81

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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.