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Finding the Fourth Proportional to 6,941, 10,412.86 and 3,478.26

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Solution

The fourth proportional to 6,941, 10,412.86 and 3,478.26 is: 5,218.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,941 : 10,412.86 = 3,478.26 : x
  2. Step 2: Convert to fraction form
    6,941/10,412.86 = 3,478.26/x
  3. Step 3: Cross multiply
    6,941x = 10,412.86 × 3,478.26
  4. Step 4: Simplify right side
    6,941x = 36,218,634.42
  5. Step 5: Solve for x
    x = 36,218,634.42/6,941
  6. Step 6: Final answer
    x = 5,218.07

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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.