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Finding the Fourth Proportional to 6,940.42, 10,405.16 and 2,555.48

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Solution

The fourth proportional to 6,940.42, 10,405.16 and 2,555.48 is: 3,831.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.42 : 10,405.16 = 2,555.48 : x
  2. Step 2: Convert to fraction form
    6,940.42/10,405.16 = 2,555.48/x
  3. Step 3: Cross multiply
    6,940.42x = 10,405.16 × 2,555.48
  4. Step 4: Simplify right side
    6,940.42x = 26,590,165.50
  5. Step 5: Solve for x
    x = 26,590,165.50/6,940.42
  6. Step 6: Final answer
    x = 3,831.21

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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.