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Finding the Fourth Proportional to 6,176.92, 8,524.02 and 3,786.07

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Solution

The fourth proportional to 6,176.92, 8,524.02 and 3,786.07 is: 5,224.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.92 : 8,524.02 = 3,786.07 : x
  2. Step 2: Convert to fraction form
    6,176.92/8,524.02 = 3,786.07/x
  3. Step 3: Cross multiply
    6,176.92x = 8,524.02 × 3,786.07
  4. Step 4: Simplify right side
    6,176.92x = 32,272,536.40
  5. Step 5: Solve for x
    x = 32,272,536.40/6,176.92
  6. Step 6: Final answer
    x = 5,224.70

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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.