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Finding the Fourth Proportional to 6,538.98, 9,808.86 and 2,156.46

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Solution

The fourth proportional to 6,538.98, 9,808.86 and 2,156.46 is: 3,234.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.98 : 9,808.86 = 2,156.46 : x
  2. Step 2: Convert to fraction form
    6,538.98/9,808.86 = 2,156.46/x
  3. Step 3: Cross multiply
    6,538.98x = 9,808.86 × 2,156.46
  4. Step 4: Simplify right side
    6,538.98x = 21,152,414.24
  5. Step 5: Solve for x
    x = 21,152,414.24/6,538.98
  6. Step 6: Final answer
    x = 3,234.82

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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.