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Finding the Fourth Proportional to 6,214.66, 8,576.38 and 3,823.74

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Solution

The fourth proportional to 6,214.66, 8,576.38 and 3,823.74 is: 5,276.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.66 : 8,576.38 = 3,823.74 : x
  2. Step 2: Convert to fraction form
    6,214.66/8,576.38 = 3,823.74/x
  3. Step 3: Cross multiply
    6,214.66x = 8,576.38 × 3,823.74
  4. Step 4: Simplify right side
    6,214.66x = 32,793,852.04
  5. Step 5: Solve for x
    x = 32,793,852.04/6,214.66
  6. Step 6: Final answer
    x = 5,276.86

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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.