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Finding the Fourth Proportional to 8,229.65, 11,352.29 and 5,044.49

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Solution

The fourth proportional to 8,229.65, 11,352.29 and 5,044.49 is: 6,958.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.65 : 11,352.29 = 5,044.49 : x
  2. Step 2: Convert to fraction form
    8,229.65/11,352.29 = 5,044.49/x
  3. Step 3: Cross multiply
    8,229.65x = 11,352.29 × 5,044.49
  4. Step 4: Simplify right side
    8,229.65x = 57,266,431.40
  5. Step 5: Solve for x
    x = 57,266,431.40/8,229.65
  6. Step 6: Final answer
    x = 6,958.55

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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.