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Finding the Fourth Proportional to 6,490.83, 9,737.64 and 2,108.19

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Solution

The fourth proportional to 6,490.83, 9,737.64 and 2,108.19 is: 3,162.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.83 : 9,737.64 = 2,108.19 : x
  2. Step 2: Convert to fraction form
    6,490.83/9,737.64 = 2,108.19/x
  3. Step 3: Cross multiply
    6,490.83x = 9,737.64 × 2,108.19
  4. Step 4: Simplify right side
    6,490.83x = 20,528,795.27
  5. Step 5: Solve for x
    x = 20,528,795.27/6,490.83
  6. Step 6: Final answer
    x = 3,162.74

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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.