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Finding the Fourth Proportional to 4,733.91, 7,100.89 and 1,446.99

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Solution

The fourth proportional to 4,733.91, 7,100.89 and 1,446.99 is: 2,170.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733.91 : 7,100.89 = 1,446.99 : x
  2. Step 2: Convert to fraction form
    4,733.91/7,100.89 = 1,446.99/x
  3. Step 3: Cross multiply
    4,733.91x = 7,100.89 × 1,446.99
  4. Step 4: Simplify right side
    4,733.91x = 10,274,909.59
  5. Step 5: Solve for x
    x = 10,274,909.59/4,733.91
  6. Step 6: Final answer
    x = 2,170.49

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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.