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Finding the Fourth Proportional to 4,500.14, 6,749.53 and 1,728.12

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Solution

The fourth proportional to 4,500.14, 6,749.53 and 1,728.12 is: 2,591.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,500.14 : 6,749.53 = 1,728.12 : x
  2. Step 2: Convert to fraction form
    4,500.14/6,749.53 = 1,728.12/x
  3. Step 3: Cross multiply
    4,500.14x = 6,749.53 × 1,728.12
  4. Step 4: Simplify right side
    4,500.14x = 11,663,982.87
  5. Step 5: Solve for x
    x = 11,663,982.87/4,500.14
  6. Step 6: Final answer
    x = 2,591.91

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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.