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Finding the Fourth Proportional to 7,222.67, 9,964.49 and 4,237.41

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Solution

The fourth proportional to 7,222.67, 9,964.49 and 4,237.41 is: 5,845.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,222.67 : 9,964.49 = 4,237.41 : x
  2. Step 2: Convert to fraction form
    7,222.67/9,964.49 = 4,237.41/x
  3. Step 3: Cross multiply
    7,222.67x = 9,964.49 × 4,237.41
  4. Step 4: Simplify right side
    7,222.67x = 42,223,608.38
  5. Step 5: Solve for x
    x = 42,223,608.38/7,222.67
  6. Step 6: Final answer
    x = 5,845.99

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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.