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Finding the Fourth Proportional to 6,098.84, 9,146.21 and 2,400.10

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Solution

The fourth proportional to 6,098.84, 9,146.21 and 2,400.10 is: 3,599.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.84 : 9,146.21 = 2,400.10 : x
  2. Step 2: Convert to fraction form
    6,098.84/9,146.21 = 2,400.10/x
  3. Step 3: Cross multiply
    6,098.84x = 9,146.21 × 2,400.10
  4. Step 4: Simplify right side
    6,098.84x = 21,951,818.62
  5. Step 5: Solve for x
    x = 21,951,818.62/6,098.84
  6. Step 6: Final answer
    x = 3,599.34

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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.