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Finding the Fourth Proportional to 9,592.97, 13,238.10 and 5,344.03

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Solution

The fourth proportional to 9,592.97, 13,238.10 and 5,344.03 is: 7,374.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,592.97 : 13,238.10 = 5,344.03 : x
  2. Step 2: Convert to fraction form
    9,592.97/13,238.10 = 5,344.03/x
  3. Step 3: Cross multiply
    9,592.97x = 13,238.10 × 5,344.03
  4. Step 4: Simplify right side
    9,592.97x = 70,744,745.63
  5. Step 5: Solve for x
    x = 70,744,745.63/9,592.97
  6. Step 6: Final answer
    x = 7,374.64

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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.