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Finding the Fourth Proportional to 9,324.88, 12,842.22 and 7,738.36

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Solution

The fourth proportional to 9,324.88, 12,842.22 and 7,738.36 is: 10,657.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,324.88 : 12,842.22 = 7,738.36 : x
  2. Step 2: Convert to fraction form
    9,324.88/12,842.22 = 7,738.36/x
  3. Step 3: Cross multiply
    9,324.88x = 12,842.22 × 7,738.36
  4. Step 4: Simplify right side
    9,324.88x = 99,377,721.56
  5. Step 5: Solve for x
    x = 99,377,721.56/9,324.88
  6. Step 6: Final answer
    x = 10,657.27

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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.