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Finding the Fourth Proportional to 4,074.52, 6,111.54 and 3,965.08

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Solution

The fourth proportional to 4,074.52, 6,111.54 and 3,965.08 is: 5,947.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074.52 : 6,111.54 = 3,965.08 : x
  2. Step 2: Convert to fraction form
    4,074.52/6,111.54 = 3,965.08/x
  3. Step 3: Cross multiply
    4,074.52x = 6,111.54 × 3,965.08
  4. Step 4: Simplify right side
    4,074.52x = 24,232,745.02
  5. Step 5: Solve for x
    x = 24,232,745.02/4,074.52
  6. Step 6: Final answer
    x = 5,947.39

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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.