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Finding the Fourth Proportional to 4,657.43, 6,986.24 and 3,728.68

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Solution

The fourth proportional to 4,657.43, 6,986.24 and 3,728.68 is: 5,593.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.43 : 6,986.24 = 3,728.68 : x
  2. Step 2: Convert to fraction form
    4,657.43/6,986.24 = 3,728.68/x
  3. Step 3: Cross multiply
    4,657.43x = 6,986.24 × 3,728.68
  4. Step 4: Simplify right side
    4,657.43x = 26,049,399.79
  5. Step 5: Solve for x
    x = 26,049,399.79/4,657.43
  6. Step 6: Final answer
    x = 5,593.08

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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.