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Finding the Fourth Proportional to 6,978.98, 10,467.30 and 2,299.04

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Solution

The fourth proportional to 6,978.98, 10,467.30 and 2,299.04 is: 3,448.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.98 : 10,467.30 = 2,299.04 : x
  2. Step 2: Convert to fraction form
    6,978.98/10,467.30 = 2,299.04/x
  3. Step 3: Cross multiply
    6,978.98x = 10,467.30 × 2,299.04
  4. Step 4: Simplify right side
    6,978.98x = 24,064,741.39
  5. Step 5: Solve for x
    x = 24,064,741.39/6,978.98
  6. Step 6: Final answer
    x = 3,448.17

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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.