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Finding the Fourth Proportional to 6,987.49, 10,467.19 and 3,234

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Solution

The fourth proportional to 6,987.49, 10,467.19 and 3,234 is: 4,844.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.49 : 10,467.19 = 3,234 : x
  2. Step 2: Convert to fraction form
    6,987.49/10,467.19 = 3,234/x
  3. Step 3: Cross multiply
    6,987.49x = 10,467.19 × 3,234
  4. Step 4: Simplify right side
    6,987.49x = 33,850,892.46
  5. Step 5: Solve for x
    x = 33,850,892.46/6,987.49
  6. Step 6: Final answer
    x = 4,844.50

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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.