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Finding the Fourth Proportional to 6,482.30, 9,724.98 and 2,099.75

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Solution

The fourth proportional to 6,482.30, 9,724.98 and 2,099.75 is: 3,150.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.30 : 9,724.98 = 2,099.75 : x
  2. Step 2: Convert to fraction form
    6,482.30/9,724.98 = 2,099.75/x
  3. Step 3: Cross multiply
    6,482.30x = 9,724.98 × 2,099.75
  4. Step 4: Simplify right side
    6,482.30x = 20,420,026.76
  5. Step 5: Solve for x
    x = 20,420,026.76/6,482.30
  6. Step 6: Final answer
    x = 3,150.12

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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.