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Finding the Fourth Proportional to 9,107.56, 13,661.43 and 2,534.23

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Solution

The fourth proportional to 9,107.56, 13,661.43 and 2,534.23 is: 3,801.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.56 : 13,661.43 = 2,534.23 : x
  2. Step 2: Convert to fraction form
    9,107.56/13,661.43 = 2,534.23/x
  3. Step 3: Cross multiply
    9,107.56x = 13,661.43 × 2,534.23
  4. Step 4: Simplify right side
    9,107.56x = 34,621,205.75
  5. Step 5: Solve for x
    x = 34,621,205.75/9,107.56
  6. Step 6: Final answer
    x = 3,801.37

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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.