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Finding the Fourth Proportional to 6,186, 9,280.53 and 1,803.49

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Solution

The fourth proportional to 6,186, 9,280.53 and 1,803.49 is: 2,705.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186 : 9,280.53 = 1,803.49 : x
  2. Step 2: Convert to fraction form
    6,186/9,280.53 = 1,803.49/x
  3. Step 3: Cross multiply
    6,186x = 9,280.53 × 1,803.49
  4. Step 4: Simplify right side
    6,186x = 16,737,343.05
  5. Step 5: Solve for x
    x = 16,737,343.05/6,186
  6. Step 6: Final answer
    x = 2,705.68

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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.