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Finding the Fourth Proportional to 5,214, 7,196.07 and 3,224.43

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Solution

The fourth proportional to 5,214, 7,196.07 and 3,224.43 is: 4,450.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214 : 7,196.07 = 3,224.43 : x
  2. Step 2: Convert to fraction form
    5,214/7,196.07 = 3,224.43/x
  3. Step 3: Cross multiply
    5,214x = 7,196.07 × 3,224.43
  4. Step 4: Simplify right side
    5,214x = 23,203,223.99
  5. Step 5: Solve for x
    x = 23,203,223.99/5,214
  6. Step 6: Final answer
    x = 4,450.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.