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Finding the Fourth Proportional to 6,408.57, 9,614.16 and 2,459.67

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Solution

The fourth proportional to 6,408.57, 9,614.16 and 2,459.67 is: 3,690.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.57 : 9,614.16 = 2,459.67 : x
  2. Step 2: Convert to fraction form
    6,408.57/9,614.16 = 2,459.67/x
  3. Step 3: Cross multiply
    6,408.57x = 9,614.16 × 2,459.67
  4. Step 4: Simplify right side
    6,408.57x = 23,647,660.93
  5. Step 5: Solve for x
    x = 23,647,660.93/6,408.57
  6. Step 6: Final answer
    x = 3,690.01

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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.