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Finding the Fourth Proportional to 6,896.64, 10,350.72 and 2,740.48

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Solution

The fourth proportional to 6,896.64, 10,350.72 and 2,740.48 is: 4,113.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.64 : 10,350.72 = 2,740.48 : x
  2. Step 2: Convert to fraction form
    6,896.64/10,350.72 = 2,740.48/x
  3. Step 3: Cross multiply
    6,896.64x = 10,350.72 × 2,740.48
  4. Step 4: Simplify right side
    6,896.64x = 28,365,941.15
  5. Step 5: Solve for x
    x = 28,365,941.15/6,896.64
  6. Step 6: Final answer
    x = 4,113.01

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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.