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Finding the Fourth Proportional to 4,697.43, 7,049.72 and 1,738.67

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Solution

The fourth proportional to 4,697.43, 7,049.72 and 1,738.67 is: 2,609.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.43 : 7,049.72 = 1,738.67 : x
  2. Step 2: Convert to fraction form
    4,697.43/7,049.72 = 1,738.67/x
  3. Step 3: Cross multiply
    4,697.43x = 7,049.72 × 1,738.67
  4. Step 4: Simplify right side
    4,697.43x = 12,257,145.60
  5. Step 5: Solve for x
    x = 12,257,145.60/4,697.43
  6. Step 6: Final answer
    x = 2,609.33

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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.