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Finding the Fourth Proportional to 9,592.89, 13,238.40 and 5,344.23

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Solution

The fourth proportional to 9,592.89, 13,238.40 and 5,344.23 is: 7,375.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,592.89 : 13,238.40 = 5,344.23 : x
  2. Step 2: Convert to fraction form
    9,592.89/13,238.40 = 5,344.23/x
  3. Step 3: Cross multiply
    9,592.89x = 13,238.40 × 5,344.23
  4. Step 4: Simplify right side
    9,592.89x = 70,749,054.43
  5. Step 5: Solve for x
    x = 70,749,054.43/9,592.89
  6. Step 6: Final answer
    x = 7,375.16

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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.