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Finding the Fourth Proportional to 6,455.19, 9,681.62 and 1,711.38

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Solution

The fourth proportional to 6,455.19, 9,681.62 and 1,711.38 is: 2,566.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.19 : 9,681.62 = 1,711.38 : x
  2. Step 2: Convert to fraction form
    6,455.19/9,681.62 = 1,711.38/x
  3. Step 3: Cross multiply
    6,455.19x = 9,681.62 × 1,711.38
  4. Step 4: Simplify right side
    6,455.19x = 16,568,930.84
  5. Step 5: Solve for x
    x = 16,568,930.84/6,455.19
  6. Step 6: Final answer
    x = 2,566.76

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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.