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Finding the Fourth Proportional to 4,614.86, 6,921.61 and 2,274.23

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Solution

The fourth proportional to 4,614.86, 6,921.61 and 2,274.23 is: 3,411.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.86 : 6,921.61 = 2,274.23 : x
  2. Step 2: Convert to fraction form
    4,614.86/6,921.61 = 2,274.23/x
  3. Step 3: Cross multiply
    4,614.86x = 6,921.61 × 2,274.23
  4. Step 4: Simplify right side
    4,614.86x = 15,741,344.73
  5. Step 5: Solve for x
    x = 15,741,344.73/4,614.86
  6. Step 6: Final answer
    x = 3,411.01

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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.