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Finding the Fourth Proportional to 3,142.30, 4,713.46 and 833.80

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Solution

The fourth proportional to 3,142.30, 4,713.46 and 833.80 is: 1,250.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.30 : 4,713.46 = 833.80 : x
  2. Step 2: Convert to fraction form
    3,142.30/4,713.46 = 833.80/x
  3. Step 3: Cross multiply
    3,142.30x = 4,713.46 × 833.80
  4. Step 4: Simplify right side
    3,142.30x = 3,930,082.95
  5. Step 5: Solve for x
    x = 3,930,082.95/3,142.30
  6. Step 6: Final answer
    x = 1,250.70

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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.