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Finding the Fourth Proportional to 6,167.56, 9,251.52 and 1,786

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Solution

The fourth proportional to 6,167.56, 9,251.52 and 1,786 is: 2,679.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,167.56 : 9,251.52 = 1,786 : x
  2. Step 2: Convert to fraction form
    6,167.56/9,251.52 = 1,786/x
  3. Step 3: Cross multiply
    6,167.56x = 9,251.52 × 1,786
  4. Step 4: Simplify right side
    6,167.56x = 16,523,214.72
  5. Step 5: Solve for x
    x = 16,523,214.72/6,167.56
  6. Step 6: Final answer
    x = 2,679.05

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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.