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Finding the Fourth Proportional to 9,975.56, 13,765.34 and 7,324.43

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Solution

The fourth proportional to 9,975.56, 13,765.34 and 7,324.43 is: 10,107.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,975.56 : 13,765.34 = 7,324.43 : x
  2. Step 2: Convert to fraction form
    9,975.56/13,765.34 = 7,324.43/x
  3. Step 3: Cross multiply
    9,975.56x = 13,765.34 × 7,324.43
  4. Step 4: Simplify right side
    9,975.56x = 100,823,218.74
  5. Step 5: Solve for x
    x = 100,823,218.74/9,975.56
  6. Step 6: Final answer
    x = 10,107.03

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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.