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Finding the Fourth Proportional to 6,956, 10,436.56 and 3,259.43

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Solution

The fourth proportional to 6,956, 10,436.56 and 3,259.43 is: 4,890.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956 : 10,436.56 = 3,259.43 : x
  2. Step 2: Convert to fraction form
    6,956/10,436.56 = 3,259.43/x
  3. Step 3: Cross multiply
    6,956x = 10,436.56 × 3,259.43
  4. Step 4: Simplify right side
    6,956x = 34,017,236.76
  5. Step 5: Solve for x
    x = 34,017,236.76/6,956
  6. Step 6: Final answer
    x = 4,890.34

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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.