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Finding the Fourth Proportional to 6,497.06, 9,740.12 and 2,599.34

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Solution

The fourth proportional to 6,497.06, 9,740.12 and 2,599.34 is: 3,896.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.06 : 9,740.12 = 2,599.34 : x
  2. Step 2: Convert to fraction form
    6,497.06/9,740.12 = 2,599.34/x
  3. Step 3: Cross multiply
    6,497.06x = 9,740.12 × 2,599.34
  4. Step 4: Simplify right side
    6,497.06x = 25,317,821.82
  5. Step 5: Solve for x
    x = 25,317,821.82/6,497.06
  6. Step 6: Final answer
    x = 3,896.82

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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.