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Finding the Fourth Proportional to 6,978.26, 10,466.30 and 4,530.44

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Solution

The fourth proportional to 6,978.26, 10,466.30 and 4,530.44 is: 6,794.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.26 : 10,466.30 = 4,530.44 : x
  2. Step 2: Convert to fraction form
    6,978.26/10,466.30 = 4,530.44/x
  3. Step 3: Cross multiply
    6,978.26x = 10,466.30 × 4,530.44
  4. Step 4: Simplify right side
    6,978.26x = 47,416,944.17
  5. Step 5: Solve for x
    x = 47,416,944.17/6,978.26
  6. Step 6: Final answer
    x = 6,794.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.