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Finding the Fourth Proportional to 6,157.65, 9,234.32 and 1,773.93

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Solution

The fourth proportional to 6,157.65, 9,234.32 and 1,773.93 is: 2,660.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157.65 : 9,234.32 = 1,773.93 : x
  2. Step 2: Convert to fraction form
    6,157.65/9,234.32 = 1,773.93/x
  3. Step 3: Cross multiply
    6,157.65x = 9,234.32 × 1,773.93
  4. Step 4: Simplify right side
    6,157.65x = 16,381,028.41
  5. Step 5: Solve for x
    x = 16,381,028.41/6,157.65
  6. Step 6: Final answer
    x = 2,660.27

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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.