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Finding the Fourth Proportional to 6,991.50, 9,648.39 and 3,847.80

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Solution

The fourth proportional to 6,991.50, 9,648.39 and 3,847.80 is: 5,310.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991.50 : 9,648.39 = 3,847.80 : x
  2. Step 2: Convert to fraction form
    6,991.50/9,648.39 = 3,847.80/x
  3. Step 3: Cross multiply
    6,991.50x = 9,648.39 × 3,847.80
  4. Step 4: Simplify right side
    6,991.50x = 37,125,075.04
  5. Step 5: Solve for x
    x = 37,125,075.04/6,991.50
  6. Step 6: Final answer
    x = 5,310.03

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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.