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Finding the Fourth Proportional to 6,274.96, 9,410.52 and 2,170

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Solution

The fourth proportional to 6,274.96, 9,410.52 and 2,170 is: 3,254.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.96 : 9,410.52 = 2,170 : x
  2. Step 2: Convert to fraction form
    6,274.96/9,410.52 = 2,170/x
  3. Step 3: Cross multiply
    6,274.96x = 9,410.52 × 2,170
  4. Step 4: Simplify right side
    6,274.96x = 20,420,828.40
  5. Step 5: Solve for x
    x = 20,420,828.40/6,274.96
  6. Step 6: Final answer
    x = 3,254.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.