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Finding the Fourth Proportional to 6,062.34, 8,371.05 and 3,827.94

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Solution

The fourth proportional to 6,062.34, 8,371.05 and 3,827.94 is: 5,285.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,062.34 : 8,371.05 = 3,827.94 : x
  2. Step 2: Convert to fraction form
    6,062.34/8,371.05 = 3,827.94/x
  3. Step 3: Cross multiply
    6,062.34x = 8,371.05 × 3,827.94
  4. Step 4: Simplify right side
    6,062.34x = 32,043,877.14
  5. Step 5: Solve for x
    x = 32,043,877.14/6,062.34
  6. Step 6: Final answer
    x = 5,285.73

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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.