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Finding the Fourth Proportional to 6,743, 10,114.50 and 2,359.45

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Solution

The fourth proportional to 6,743, 10,114.50 and 2,359.45 is: 3,539.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743 : 10,114.50 = 2,359.45 : x
  2. Step 2: Convert to fraction form
    6,743/10,114.50 = 2,359.45/x
  3. Step 3: Cross multiply
    6,743x = 10,114.50 × 2,359.45
  4. Step 4: Simplify right side
    6,743x = 23,864,657.03
  5. Step 5: Solve for x
    x = 23,864,657.03/6,743
  6. Step 6: Final answer
    x = 3,539.18

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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.