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Finding the Fourth Proportional to 9,592.93, 13,238.46 and 5,344.27

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Solution

The fourth proportional to 9,592.93, 13,238.46 and 5,344.27 is: 7,375.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,592.93 : 13,238.46 = 5,344.27 : x
  2. Step 2: Convert to fraction form
    9,592.93/13,238.46 = 5,344.27/x
  3. Step 3: Cross multiply
    9,592.93x = 13,238.46 × 5,344.27
  4. Step 4: Simplify right side
    9,592.93x = 70,749,904.62
  5. Step 5: Solve for x
    x = 70,749,904.62/9,592.93
  6. Step 6: Final answer
    x = 7,375.22

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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.