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Finding the Fourth Proportional to 6,978.41, 10,467.61 and 2,594.69

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Solution

The fourth proportional to 6,978.41, 10,467.61 and 2,594.69 is: 3,892.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.41 : 10,467.61 = 2,594.69 : x
  2. Step 2: Convert to fraction form
    6,978.41/10,467.61 = 2,594.69/x
  3. Step 3: Cross multiply
    6,978.41x = 10,467.61 × 2,594.69
  4. Step 4: Simplify right side
    6,978.41x = 27,160,144.17
  5. Step 5: Solve for x
    x = 27,160,144.17/6,978.41
  6. Step 6: Final answer
    x = 3,892.03

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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.