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Finding the Fourth Proportional to 6,217.90, 8,576.92 and 3,978.98

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Solution

The fourth proportional to 6,217.90, 8,576.92 and 3,978.98 is: 5,488.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,217.90 : 8,576.92 = 3,978.98 : x
  2. Step 2: Convert to fraction form
    6,217.90/8,576.92 = 3,978.98/x
  3. Step 3: Cross multiply
    6,217.90x = 8,576.92 × 3,978.98
  4. Step 4: Simplify right side
    6,217.90x = 34,127,393.14
  5. Step 5: Solve for x
    x = 34,127,393.14/6,217.90
  6. Step 6: Final answer
    x = 5,488.57

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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.