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Finding the Fourth Proportional to 6,733.42, 10,099.42 and 1,803.56

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Solution

The fourth proportional to 6,733.42, 10,099.42 and 1,803.56 is: 2,705.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733.42 : 10,099.42 = 1,803.56 : x
  2. Step 2: Convert to fraction form
    6,733.42/10,099.42 = 1,803.56/x
  3. Step 3: Cross multiply
    6,733.42x = 10,099.42 × 1,803.56
  4. Step 4: Simplify right side
    6,733.42x = 18,214,854.93
  5. Step 5: Solve for x
    x = 18,214,854.93/6,733.42
  6. Step 6: Final answer
    x = 2,705.14

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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.