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Finding the Fourth Proportional to 6,178.64, 8,523.32 and 3,789.18

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Solution

The fourth proportional to 6,178.64, 8,523.32 and 3,789.18 is: 5,227.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.64 : 8,523.32 = 3,789.18 : x
  2. Step 2: Convert to fraction form
    6,178.64/8,523.32 = 3,789.18/x
  3. Step 3: Cross multiply
    6,178.64x = 8,523.32 × 3,789.18
  4. Step 4: Simplify right side
    6,178.64x = 32,296,393.68
  5. Step 5: Solve for x
    x = 32,296,393.68/6,178.64
  6. Step 6: Final answer
    x = 5,227.10

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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.