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Finding the Fourth Proportional to 9,843.26, 13,583.60 and 5,367

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Solution

The fourth proportional to 9,843.26, 13,583.60 and 5,367 is: 7,406.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.26 : 13,583.60 = 5,367 : x
  2. Step 2: Convert to fraction form
    9,843.26/13,583.60 = 5,367/x
  3. Step 3: Cross multiply
    9,843.26x = 13,583.60 × 5,367
  4. Step 4: Simplify right side
    9,843.26x = 72,903,181.20
  5. Step 5: Solve for x
    x = 72,903,181.20/9,843.26
  6. Step 6: Final answer
    x = 7,406.41

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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.