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Finding the Fourth Proportional to 5,497.75, 8,246.63 and 2,419.75

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Solution

The fourth proportional to 5,497.75, 8,246.63 and 2,419.75 is: 3,629.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.75 : 8,246.63 = 2,419.75 : x
  2. Step 2: Convert to fraction form
    5,497.75/8,246.63 = 2,419.75/x
  3. Step 3: Cross multiply
    5,497.75x = 8,246.63 × 2,419.75
  4. Step 4: Simplify right side
    5,497.75x = 19,954,782.94
  5. Step 5: Solve for x
    x = 19,954,782.94/5,497.75
  6. Step 6: Final answer
    x = 3,629.63

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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.