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Finding the Fourth Proportional to 6,958.26, 10,437.39 and 4,216.50

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Solution

The fourth proportional to 6,958.26, 10,437.39 and 4,216.50 is: 6,324.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,958.26 : 10,437.39 = 4,216.50 : x
  2. Step 2: Convert to fraction form
    6,958.26/10,437.39 = 4,216.50/x
  3. Step 3: Cross multiply
    6,958.26x = 10,437.39 × 4,216.50
  4. Step 4: Simplify right side
    6,958.26x = 44,009,254.94
  5. Step 5: Solve for x
    x = 44,009,254.94/6,958.26
  6. Step 6: Final answer
    x = 6,324.75

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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.