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Finding the Fourth Proportional to 6,526.90, 9,790.35 and 1,846.95

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Solution

The fourth proportional to 6,526.90, 9,790.35 and 1,846.95 is: 2,770.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.90 : 9,790.35 = 1,846.95 : x
  2. Step 2: Convert to fraction form
    6,526.90/9,790.35 = 1,846.95/x
  3. Step 3: Cross multiply
    6,526.90x = 9,790.35 × 1,846.95
  4. Step 4: Simplify right side
    6,526.90x = 18,082,286.93
  5. Step 5: Solve for x
    x = 18,082,286.93/6,526.90
  6. Step 6: Final answer
    x = 2,770.43

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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.