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Finding the Fourth Proportional to 7,297.34, 10,947.62 and 2,367.48

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Solution

The fourth proportional to 7,297.34, 10,947.62 and 2,367.48 is: 3,551.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.34 : 10,947.62 = 2,367.48 : x
  2. Step 2: Convert to fraction form
    7,297.34/10,947.62 = 2,367.48/x
  3. Step 3: Cross multiply
    7,297.34x = 10,947.62 × 2,367.48
  4. Step 4: Simplify right side
    7,297.34x = 25,918,259.56
  5. Step 5: Solve for x
    x = 25,918,259.56/7,297.34
  6. Step 6: Final answer
    x = 3,551.74

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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.