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Finding the Fourth Proportional to 6,466.66, 8,926.14 and 4,229.98

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Solution

The fourth proportional to 6,466.66, 8,926.14 and 4,229.98 is: 5,838.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.66 : 8,926.14 = 4,229.98 : x
  2. Step 2: Convert to fraction form
    6,466.66/8,926.14 = 4,229.98/x
  3. Step 3: Cross multiply
    6,466.66x = 8,926.14 × 4,229.98
  4. Step 4: Simplify right side
    6,466.66x = 37,757,393.68
  5. Step 5: Solve for x
    x = 37,757,393.68/6,466.66
  6. Step 6: Final answer
    x = 5,838.78

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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.