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Finding the Fourth Proportional to 7,212.96, 9,954.32 and 4,227.71

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Solution

The fourth proportional to 7,212.96, 9,954.32 and 4,227.71 is: 5,834.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,212.96 : 9,954.32 = 4,227.71 : x
  2. Step 2: Convert to fraction form
    7,212.96/9,954.32 = 4,227.71/x
  3. Step 3: Cross multiply
    7,212.96x = 9,954.32 × 4,227.71
  4. Step 4: Simplify right side
    7,212.96x = 42,083,907.30
  5. Step 5: Solve for x
    x = 42,083,907.30/7,212.96
  6. Step 6: Final answer
    x = 5,834.49

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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.