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Finding the Fourth Proportional to 9,843.70, 13,584.19 and 5,367.49

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Solution

The fourth proportional to 9,843.70, 13,584.19 and 5,367.49 is: 7,407.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.70 : 13,584.19 = 5,367.49 : x
  2. Step 2: Convert to fraction form
    9,843.70/13,584.19 = 5,367.49/x
  3. Step 3: Cross multiply
    9,843.70x = 13,584.19 × 5,367.49
  4. Step 4: Simplify right side
    9,843.70x = 72,913,027.52
  5. Step 5: Solve for x
    x = 72,913,027.52/9,843.70
  6. Step 6: Final answer
    x = 7,407.07

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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.