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Finding the Fourth Proportional to 6,523.40, 9,794.10 and 4,197.80

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Solution

The fourth proportional to 6,523.40, 9,794.10 and 4,197.80 is: 6,302.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.40 : 9,794.10 = 4,197.80 : x
  2. Step 2: Convert to fraction form
    6,523.40/9,794.10 = 4,197.80/x
  3. Step 3: Cross multiply
    6,523.40x = 9,794.10 × 4,197.80
  4. Step 4: Simplify right side
    6,523.40x = 41,113,672.98
  5. Step 5: Solve for x
    x = 41,113,672.98/6,523.40
  6. Step 6: Final answer
    x = 6,302.49

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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.