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Finding the Fourth Proportional to 6,161.96, 8,503.50 and 3,804.08

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Solution

The fourth proportional to 6,161.96, 8,503.50 and 3,804.08 is: 5,249.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161.96 : 8,503.50 = 3,804.08 : x
  2. Step 2: Convert to fraction form
    6,161.96/8,503.50 = 3,804.08/x
  3. Step 3: Cross multiply
    6,161.96x = 8,503.50 × 3,804.08
  4. Step 4: Simplify right side
    6,161.96x = 32,347,994.28
  5. Step 5: Solve for x
    x = 32,347,994.28/6,161.96
  6. Step 6: Final answer
    x = 5,249.63

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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.