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Finding the Fourth Proportional to 6,182.75, 8,529.23 and 5,944.05

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Solution

The fourth proportional to 6,182.75, 8,529.23 and 5,944.05 is: 8,199.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.75 : 8,529.23 = 5,944.05 : x
  2. Step 2: Convert to fraction form
    6,182.75/8,529.23 = 5,944.05/x
  3. Step 3: Cross multiply
    6,182.75x = 8,529.23 × 5,944.05
  4. Step 4: Simplify right side
    6,182.75x = 50,698,169.58
  5. Step 5: Solve for x
    x = 50,698,169.58/6,182.75
  6. Step 6: Final answer
    x = 8,199.94

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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.