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Finding the Fourth Proportional to 6,667.46, 9,200.86 and 3,683.48

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Solution

The fourth proportional to 6,667.46, 9,200.86 and 3,683.48 is: 5,083.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,667.46 : 9,200.86 = 3,683.48 : x
  2. Step 2: Convert to fraction form
    6,667.46/9,200.86 = 3,683.48/x
  3. Step 3: Cross multiply
    6,667.46x = 9,200.86 × 3,683.48
  4. Step 4: Simplify right side
    6,667.46x = 33,891,183.79
  5. Step 5: Solve for x
    x = 33,891,183.79/6,667.46
  6. Step 6: Final answer
    x = 5,083.07

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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.