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Finding the Fourth Proportional to 9,794.57, 14,693.67 and 3,221.21

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Solution

The fourth proportional to 9,794.57, 14,693.67 and 3,221.21 is: 4,832.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.57 : 14,693.67 = 3,221.21 : x
  2. Step 2: Convert to fraction form
    9,794.57/14,693.67 = 3,221.21/x
  3. Step 3: Cross multiply
    9,794.57x = 14,693.67 × 3,221.21
  4. Step 4: Simplify right side
    9,794.57x = 47,331,433.47
  5. Step 5: Solve for x
    x = 47,331,433.47/9,794.57
  6. Step 6: Final answer
    x = 4,832.42

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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.