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Finding the Fourth Proportional to 3,233, 4,434.10 and 3,194.84

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Solution

The fourth proportional to 3,233, 4,434.10 and 3,194.84 is: 4,381.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233 : 4,434.10 = 3,194.84 : x
  2. Step 2: Convert to fraction form
    3,233/4,434.10 = 3,194.84/x
  3. Step 3: Cross multiply
    3,233x = 4,434.10 × 3,194.84
  4. Step 4: Simplify right side
    3,233x = 14,166,240.04
  5. Step 5: Solve for x
    x = 14,166,240.04/3,233
  6. Step 6: Final answer
    x = 4,381.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.