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Finding the Fourth Proportional to 6,267.72, 9,405.90 and 4,071

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Solution

The fourth proportional to 6,267.72, 9,405.90 and 4,071 is: 6,109.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267.72 : 9,405.90 = 4,071 : x
  2. Step 2: Convert to fraction form
    6,267.72/9,405.90 = 4,071/x
  3. Step 3: Cross multiply
    6,267.72x = 9,405.90 × 4,071
  4. Step 4: Simplify right side
    6,267.72x = 38,291,418.90
  5. Step 5: Solve for x
    x = 38,291,418.90/6,267.72
  6. Step 6: Final answer
    x = 6,109.31

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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.