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Finding the Fourth Proportional to 6,077.71, 8,382.94 and 5,874.49

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Solution

The fourth proportional to 6,077.71, 8,382.94 and 5,874.49 is: 8,102.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.71 : 8,382.94 = 5,874.49 : x
  2. Step 2: Convert to fraction form
    6,077.71/8,382.94 = 5,874.49/x
  3. Step 3: Cross multiply
    6,077.71x = 8,382.94 × 5,874.49
  4. Step 4: Simplify right side
    6,077.71x = 49,245,497.20
  5. Step 5: Solve for x
    x = 49,245,497.20/6,077.71
  6. Step 6: Final answer
    x = 8,102.64

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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.