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Finding the Fourth Proportional to 6,103.50, 8,418.48 and 3,975.12

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Solution

The fourth proportional to 6,103.50, 8,418.48 and 3,975.12 is: 5,482.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103.50 : 8,418.48 = 3,975.12 : x
  2. Step 2: Convert to fraction form
    6,103.50/8,418.48 = 3,975.12/x
  3. Step 3: Cross multiply
    6,103.50x = 8,418.48 × 3,975.12
  4. Step 4: Simplify right side
    6,103.50x = 33,464,468.22
  5. Step 5: Solve for x
    x = 33,464,468.22/6,103.50
  6. Step 6: Final answer
    x = 5,482.83

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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.