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Finding the Fourth Proportional to 7,738.43, 11,594.72 and 7,450.47

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Solution

The fourth proportional to 7,738.43, 11,594.72 and 7,450.47 is: 11,163.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.43 : 11,594.72 = 7,450.47 : x
  2. Step 2: Convert to fraction form
    7,738.43/11,594.72 = 7,450.47/x
  3. Step 3: Cross multiply
    7,738.43x = 11,594.72 × 7,450.47
  4. Step 4: Simplify right side
    7,738.43x = 86,386,076.27
  5. Step 5: Solve for x
    x = 86,386,076.27/7,738.43
  6. Step 6: Final answer
    x = 11,163.26

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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.