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Finding the Fourth Proportional to 9,757.40, 14,633.46 and 2,737

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Solution

The fourth proportional to 9,757.40, 14,633.46 and 2,737 is: 4,104.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.40 : 14,633.46 = 2,737 : x
  2. Step 2: Convert to fraction form
    9,757.40/14,633.46 = 2,737/x
  3. Step 3: Cross multiply
    9,757.40x = 14,633.46 × 2,737
  4. Step 4: Simplify right side
    9,757.40x = 40,051,780.02
  5. Step 5: Solve for x
    x = 40,051,780.02/9,757.40
  6. Step 6: Final answer
    x = 4,104.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.