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Finding the Fourth Proportional to 7,572.33, 11,351.47 and 6,949.44

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Solution

The fourth proportional to 7,572.33, 11,351.47 and 6,949.44 is: 10,417.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,572.33 : 11,351.47 = 6,949.44 : x
  2. Step 2: Convert to fraction form
    7,572.33/11,351.47 = 6,949.44/x
  3. Step 3: Cross multiply
    7,572.33x = 11,351.47 × 6,949.44
  4. Step 4: Simplify right side
    7,572.33x = 78,886,359.68
  5. Step 5: Solve for x
    x = 78,886,359.68/7,572.33
  6. Step 6: Final answer
    x = 10,417.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.