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Finding the Fourth Proportional to 7,204.86, 10,807.68 and 2,274.87

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Solution

The fourth proportional to 7,204.86, 10,807.68 and 2,274.87 is: 3,412.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.86 : 10,807.68 = 2,274.87 : x
  2. Step 2: Convert to fraction form
    7,204.86/10,807.68 = 2,274.87/x
  3. Step 3: Cross multiply
    7,204.86x = 10,807.68 × 2,274.87
  4. Step 4: Simplify right side
    7,204.86x = 24,586,067.00
  5. Step 5: Solve for x
    x = 24,586,067.00/7,204.86
  6. Step 6: Final answer
    x = 3,412.43

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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.