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Finding the Fourth Proportional to 6,938.62, 10,409.37 and 2,321.50

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Solution

The fourth proportional to 6,938.62, 10,409.37 and 2,321.50 is: 3,482.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.62 : 10,409.37 = 2,321.50 : x
  2. Step 2: Convert to fraction form
    6,938.62/10,409.37 = 2,321.50/x
  3. Step 3: Cross multiply
    6,938.62x = 10,409.37 × 2,321.50
  4. Step 4: Simplify right side
    6,938.62x = 24,165,352.46
  5. Step 5: Solve for x
    x = 24,165,352.46/6,938.62
  6. Step 6: Final answer
    x = 3,482.73

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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.