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Finding the Fourth Proportional to 6,065.76, 9,097.74 and 1,682.76

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Solution

The fourth proportional to 6,065.76, 9,097.74 and 1,682.76 is: 2,523.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065.76 : 9,097.74 = 1,682.76 : x
  2. Step 2: Convert to fraction form
    6,065.76/9,097.74 = 1,682.76/x
  3. Step 3: Cross multiply
    6,065.76x = 9,097.74 × 1,682.76
  4. Step 4: Simplify right side
    6,065.76x = 15,309,312.96
  5. Step 5: Solve for x
    x = 15,309,312.96/6,065.76
  6. Step 6: Final answer
    x = 2,523.89

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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.