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Finding the Fourth Proportional to 6,419.51, 9,625.62 and 3,824.27

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Solution

The fourth proportional to 6,419.51, 9,625.62 and 3,824.27 is: 5,734.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.51 : 9,625.62 = 3,824.27 : x
  2. Step 2: Convert to fraction form
    6,419.51/9,625.62 = 3,824.27/x
  3. Step 3: Cross multiply
    6,419.51x = 9,625.62 × 3,824.27
  4. Step 4: Simplify right side
    6,419.51x = 36,810,969.80
  5. Step 5: Solve for x
    x = 36,810,969.80/6,419.51
  6. Step 6: Final answer
    x = 5,734.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.