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Finding the Fourth Proportional to 12,774.68, 19,162.92 and 3,414.68

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Solution

The fourth proportional to 12,774.68, 19,162.92 and 3,414.68 is: 5,122.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.68 : 19,162.92 = 3,414.68 : x
  2. Step 2: Convert to fraction form
    12,774.68/19,162.92 = 3,414.68/x
  3. Step 3: Cross multiply
    12,774.68x = 19,162.92 × 3,414.68
  4. Step 4: Simplify right side
    12,774.68x = 65,435,239.67
  5. Step 5: Solve for x
    x = 65,435,239.67/12,774.68
  6. Step 6: Final answer
    x = 5,122.26

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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.