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Finding the Fourth Proportional to 6,178.14, 8,524.64 and 3,524.99

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Solution

The fourth proportional to 6,178.14, 8,524.64 and 3,524.99 is: 4,863.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.14 : 8,524.64 = 3,524.99 : x
  2. Step 2: Convert to fraction form
    6,178.14/8,524.64 = 3,524.99/x
  3. Step 3: Cross multiply
    6,178.14x = 8,524.64 × 3,524.99
  4. Step 4: Simplify right side
    6,178.14x = 30,049,236.94
  5. Step 5: Solve for x
    x = 30,049,236.94/6,178.14
  6. Step 6: Final answer
    x = 4,863.80

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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.