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Finding the Fourth Proportional to 6,683.32, 9,222.94 and 3,849.66

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Solution

The fourth proportional to 6,683.32, 9,222.94 and 3,849.66 is: 5,312.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.32 : 9,222.94 = 3,849.66 : x
  2. Step 2: Convert to fraction form
    6,683.32/9,222.94 = 3,849.66/x
  3. Step 3: Cross multiply
    6,683.32x = 9,222.94 × 3,849.66
  4. Step 4: Simplify right side
    6,683.32x = 35,505,183.20
  5. Step 5: Solve for x
    x = 35,505,183.20/6,683.32
  6. Step 6: Final answer
    x = 5,312.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.