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Finding the Fourth Proportional to 6,072.71, 8,382.08 and 3,948.27

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Solution

The fourth proportional to 6,072.71, 8,382.08 and 3,948.27 is: 5,449.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,072.71 : 8,382.08 = 3,948.27 : x
  2. Step 2: Convert to fraction form
    6,072.71/8,382.08 = 3,948.27/x
  3. Step 3: Cross multiply
    6,072.71x = 8,382.08 × 3,948.27
  4. Step 4: Simplify right side
    6,072.71x = 33,094,695.26
  5. Step 5: Solve for x
    x = 33,094,695.26/6,072.71
  6. Step 6: Final answer
    x = 5,449.75

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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.