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Finding the Fourth Proportional to 6,018.17, 9,026.14 and 1,635.98

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Solution

The fourth proportional to 6,018.17, 9,026.14 and 1,635.98 is: 2,453.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,018.17 : 9,026.14 = 1,635.98 : x
  2. Step 2: Convert to fraction form
    6,018.17/9,026.14 = 1,635.98/x
  3. Step 3: Cross multiply
    6,018.17x = 9,026.14 × 1,635.98
  4. Step 4: Simplify right side
    6,018.17x = 14,766,584.52
  5. Step 5: Solve for x
    x = 14,766,584.52/6,018.17
  6. Step 6: Final answer
    x = 2,453.67

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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.