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Finding the Fourth Proportional to 4,462.29, 6,697.94 and 3,945.69

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Solution

The fourth proportional to 4,462.29, 6,697.94 and 3,945.69 is: 5,922.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462.29 : 6,697.94 = 3,945.69 : x
  2. Step 2: Convert to fraction form
    4,462.29/6,697.94 = 3,945.69/x
  3. Step 3: Cross multiply
    4,462.29x = 6,697.94 × 3,945.69
  4. Step 4: Simplify right side
    4,462.29x = 26,427,975.15
  5. Step 5: Solve for x
    x = 26,427,975.15/4,462.29
  6. Step 6: Final answer
    x = 5,922.51

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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.