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Finding the Fourth Proportional to 9,843.36, 13,578.84 and 5,649

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Solution

The fourth proportional to 9,843.36, 13,578.84 and 5,649 is: 7,792.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.36 : 13,578.84 = 5,649 : x
  2. Step 2: Convert to fraction form
    9,843.36/13,578.84 = 5,649/x
  3. Step 3: Cross multiply
    9,843.36x = 13,578.84 × 5,649
  4. Step 4: Simplify right side
    9,843.36x = 76,706,867.16
  5. Step 5: Solve for x
    x = 76,706,867.16/9,843.36
  6. Step 6: Final answer
    x = 7,792.75

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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.