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Finding the Fourth Proportional to 6,186.48, 9,281.04 and 1,803.56

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Solution

The fourth proportional to 6,186.48, 9,281.04 and 1,803.56 is: 2,705.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.48 : 9,281.04 = 1,803.56 : x
  2. Step 2: Convert to fraction form
    6,186.48/9,281.04 = 1,803.56/x
  3. Step 3: Cross multiply
    6,186.48x = 9,281.04 × 1,803.56
  4. Step 4: Simplify right side
    6,186.48x = 16,738,912.50
  5. Step 5: Solve for x
    x = 16,738,912.50/6,186.48
  6. Step 6: Final answer
    x = 2,705.72

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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.