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Finding the Fourth Proportional to 6,978.08, 10,448.32 and 4,791.04

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Solution

The fourth proportional to 6,978.08, 10,448.32 and 4,791.04 is: 7,173.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.08 : 10,448.32 = 4,791.04 : x
  2. Step 2: Convert to fraction form
    6,978.08/10,448.32 = 4,791.04/x
  3. Step 3: Cross multiply
    6,978.08x = 10,448.32 × 4,791.04
  4. Step 4: Simplify right side
    6,978.08x = 50,058,319.05
  5. Step 5: Solve for x
    x = 50,058,319.05/6,978.08
  6. Step 6: Final answer
    x = 7,173.65

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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.