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Finding the Fourth Proportional to 3,966.79, 5,946.13 and 1,367.50

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Solution

The fourth proportional to 3,966.79, 5,946.13 and 1,367.50 is: 2,049.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.79 : 5,946.13 = 1,367.50 : x
  2. Step 2: Convert to fraction form
    3,966.79/5,946.13 = 1,367.50/x
  3. Step 3: Cross multiply
    3,966.79x = 5,946.13 × 1,367.50
  4. Step 4: Simplify right side
    3,966.79x = 8,131,332.78
  5. Step 5: Solve for x
    x = 8,131,332.78/3,966.79
  6. Step 6: Final answer
    x = 2,049.85

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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.