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Finding the Fourth Proportional to 9,074.26, 12,524.52 and 5,928.64

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Solution

The fourth proportional to 9,074.26, 12,524.52 and 5,928.64 is: 8,182.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,074.26 : 12,524.52 = 5,928.64 : x
  2. Step 2: Convert to fraction form
    9,074.26/12,524.52 = 5,928.64/x
  3. Step 3: Cross multiply
    9,074.26x = 12,524.52 × 5,928.64
  4. Step 4: Simplify right side
    9,074.26x = 74,253,370.25
  5. Step 5: Solve for x
    x = 74,253,370.25/9,074.26
  6. Step 6: Final answer
    x = 8,182.86

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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.