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Finding the Fourth Proportional to 6,537.95, 9,806.83 and 1,607.63

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Solution

The fourth proportional to 6,537.95, 9,806.83 and 1,607.63 is: 2,411.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.95 : 9,806.83 = 1,607.63 : x
  2. Step 2: Convert to fraction form
    6,537.95/9,806.83 = 1,607.63/x
  3. Step 3: Cross multiply
    6,537.95x = 9,806.83 × 1,607.63
  4. Step 4: Simplify right side
    6,537.95x = 15,765,754.11
  5. Step 5: Solve for x
    x = 15,765,754.11/6,537.95
  6. Step 6: Final answer
    x = 2,411.42

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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.