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Finding the Fourth Proportional to 5,408.97, 8,114.63 and 1,660.77

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Solution

The fourth proportional to 5,408.97, 8,114.63 and 1,660.77 is: 2,491.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.97 : 8,114.63 = 1,660.77 : x
  2. Step 2: Convert to fraction form
    5,408.97/8,114.63 = 1,660.77/x
  3. Step 3: Cross multiply
    5,408.97x = 8,114.63 × 1,660.77
  4. Step 4: Simplify right side
    5,408.97x = 13,476,495.57
  5. Step 5: Solve for x
    x = 13,476,495.57/5,408.97
  6. Step 6: Final answer
    x = 2,491.51

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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.