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Finding the Fourth Proportional to 6,098.85, 9,148.28 and 1,716.31

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Solution

The fourth proportional to 6,098.85, 9,148.28 and 1,716.31 is: 2,574.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.85 : 9,148.28 = 1,716.31 : x
  2. Step 2: Convert to fraction form
    6,098.85/9,148.28 = 1,716.31/x
  3. Step 3: Cross multiply
    6,098.85x = 9,148.28 × 1,716.31
  4. Step 4: Simplify right side
    6,098.85x = 15,701,284.45
  5. Step 5: Solve for x
    x = 15,701,284.45/6,098.85
  6. Step 6: Final answer
    x = 2,574.47

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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.