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Finding the Fourth Proportional to 6,958.19, 10,437.76 and 2,798.20

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Solution

The fourth proportional to 6,958.19, 10,437.76 and 2,798.20 is: 4,197.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,958.19 : 10,437.76 = 2,798.20 : x
  2. Step 2: Convert to fraction form
    6,958.19/10,437.76 = 2,798.20/x
  3. Step 3: Cross multiply
    6,958.19x = 10,437.76 × 2,798.20
  4. Step 4: Simplify right side
    6,958.19x = 29,206,940.03
  5. Step 5: Solve for x
    x = 29,206,940.03/6,958.19
  6. Step 6: Final answer
    x = 4,197.49

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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.