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Finding the Fourth Proportional to 3,674.70, 5,512.22 and 1,209.74

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Solution

The fourth proportional to 3,674.70, 5,512.22 and 1,209.74 is: 1,814.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.70 : 5,512.22 = 1,209.74 : x
  2. Step 2: Convert to fraction form
    3,674.70/5,512.22 = 1,209.74/x
  3. Step 3: Cross multiply
    3,674.70x = 5,512.22 × 1,209.74
  4. Step 4: Simplify right side
    3,674.70x = 6,668,323.95
  5. Step 5: Solve for x
    x = 6,668,323.95/3,674.70
  6. Step 6: Final answer
    x = 1,814.66

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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.