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Finding the Fourth Proportional to 3,142.27, 4,713.30 and 833.77

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Solution

The fourth proportional to 3,142.27, 4,713.30 and 833.77 is: 1,250.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.27 : 4,713.30 = 833.77 : x
  2. Step 2: Convert to fraction form
    3,142.27/4,713.30 = 833.77/x
  3. Step 3: Cross multiply
    3,142.27x = 4,713.30 × 833.77
  4. Step 4: Simplify right side
    3,142.27x = 3,929,808.14
  5. Step 5: Solve for x
    x = 3,929,808.14/3,142.27
  6. Step 6: Final answer
    x = 1,250.63

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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.