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Finding the Fourth Proportional to 6,440.41, 9,655.89 and 2,055.34

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Solution

The fourth proportional to 6,440.41, 9,655.89 and 2,055.34 is: 3,081.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.41 : 9,655.89 = 2,055.34 : x
  2. Step 2: Convert to fraction form
    6,440.41/9,655.89 = 2,055.34/x
  3. Step 3: Cross multiply
    6,440.41x = 9,655.89 × 2,055.34
  4. Step 4: Simplify right side
    6,440.41x = 19,846,136.95
  5. Step 5: Solve for x
    x = 19,846,136.95/6,440.41
  6. Step 6: Final answer
    x = 3,081.50

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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.