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Finding the Fourth Proportional to 9,494, 13,101.66 and 5,517.44

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Solution

The fourth proportional to 9,494, 13,101.66 and 5,517.44 is: 7,614.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494 : 13,101.66 = 5,517.44 : x
  2. Step 2: Convert to fraction form
    9,494/13,101.66 = 5,517.44/x
  3. Step 3: Cross multiply
    9,494x = 13,101.66 × 5,517.44
  4. Step 4: Simplify right side
    9,494x = 72,287,622.95
  5. Step 5: Solve for x
    x = 72,287,622.95/9,494
  6. Step 6: Final answer
    x = 7,614.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.