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Finding the Fourth Proportional to 6,447.08, 9,670.62 and 1,767.11

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Solution

The fourth proportional to 6,447.08, 9,670.62 and 1,767.11 is: 2,650.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.08 : 9,670.62 = 1,767.11 : x
  2. Step 2: Convert to fraction form
    6,447.08/9,670.62 = 1,767.11/x
  3. Step 3: Cross multiply
    6,447.08x = 9,670.62 × 1,767.11
  4. Step 4: Simplify right side
    6,447.08x = 17,089,000.96
  5. Step 5: Solve for x
    x = 17,089,000.96/6,447.08
  6. Step 6: Final answer
    x = 2,650.66

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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.