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Finding the Fourth Proportional to 6,148.68, 9,214.56 and 2,634.48

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Solution

The fourth proportional to 6,148.68, 9,214.56 and 2,634.48 is: 3,948.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148.68 : 9,214.56 = 2,634.48 : x
  2. Step 2: Convert to fraction form
    6,148.68/9,214.56 = 2,634.48/x
  3. Step 3: Cross multiply
    6,148.68x = 9,214.56 × 2,634.48
  4. Step 4: Simplify right side
    6,148.68x = 24,275,574.03
  5. Step 5: Solve for x
    x = 24,275,574.03/6,148.68
  6. Step 6: Final answer
    x = 3,948.10

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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.