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Finding the Fourth Proportional to 6,177.54, 8,524.90 and 3,524.88

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Solution

The fourth proportional to 6,177.54, 8,524.90 and 3,524.88 is: 4,864.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.54 : 8,524.90 = 3,524.88 : x
  2. Step 2: Convert to fraction form
    6,177.54/8,524.90 = 3,524.88/x
  3. Step 3: Cross multiply
    6,177.54x = 8,524.90 × 3,524.88
  4. Step 4: Simplify right side
    6,177.54x = 30,049,249.51
  5. Step 5: Solve for x
    x = 30,049,249.51/6,177.54
  6. Step 6: Final answer
    x = 4,864.27

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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.