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Finding the Fourth Proportional to 9,794.85, 14,690.74 and 3,220.98

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Solution

The fourth proportional to 9,794.85, 14,690.74 and 3,220.98 is: 4,830.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.85 : 14,690.74 = 3,220.98 : x
  2. Step 2: Convert to fraction form
    9,794.85/14,690.74 = 3,220.98/x
  3. Step 3: Cross multiply
    9,794.85x = 14,690.74 × 3,220.98
  4. Step 4: Simplify right side
    9,794.85x = 47,318,579.73
  5. Step 5: Solve for x
    x = 47,318,579.73/9,794.85
  6. Step 6: Final answer
    x = 4,830.97

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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.