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Finding the Fourth Proportional to 6,476.68, 9,716.64 and 2,582.20

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Solution

The fourth proportional to 6,476.68, 9,716.64 and 2,582.20 is: 3,873.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.68 : 9,716.64 = 2,582.20 : x
  2. Step 2: Convert to fraction form
    6,476.68/9,716.64 = 2,582.20/x
  3. Step 3: Cross multiply
    6,476.68x = 9,716.64 × 2,582.20
  4. Step 4: Simplify right side
    6,476.68x = 25,090,307.81
  5. Step 5: Solve for x
    x = 25,090,307.81/6,476.68
  6. Step 6: Final answer
    x = 3,873.95

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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.