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Finding the Fourth Proportional to 12,773.49, 19,151.52 and 6,934.20

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Solution

The fourth proportional to 12,773.49, 19,151.52 and 6,934.20 is: 10,396.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,773.49 : 19,151.52 = 6,934.20 : x
  2. Step 2: Convert to fraction form
    12,773.49/19,151.52 = 6,934.20/x
  3. Step 3: Cross multiply
    12,773.49x = 19,151.52 × 6,934.20
  4. Step 4: Simplify right side
    12,773.49x = 132,800,469.98
  5. Step 5: Solve for x
    x = 132,800,469.98/12,773.49
  6. Step 6: Final answer
    x = 10,396.57

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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.