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Finding the Fourth Proportional to 6,371.46, 9,557.49 and 3,408.68

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Solution

The fourth proportional to 6,371.46, 9,557.49 and 3,408.68 is: 5,113.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,371.46 : 9,557.49 = 3,408.68 : x
  2. Step 2: Convert to fraction form
    6,371.46/9,557.49 = 3,408.68/x
  3. Step 3: Cross multiply
    6,371.46x = 9,557.49 × 3,408.68
  4. Step 4: Simplify right side
    6,371.46x = 32,578,461.69
  5. Step 5: Solve for x
    x = 32,578,461.69/6,371.46
  6. Step 6: Final answer
    x = 5,113.19

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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.