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Finding the Fourth Proportional to 7,183.68, 9,905.04 and 5,854.56

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Solution

The fourth proportional to 7,183.68, 9,905.04 and 5,854.56 is: 8,072.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,183.68 : 9,905.04 = 5,854.56 : x
  2. Step 2: Convert to fraction form
    7,183.68/9,905.04 = 5,854.56/x
  3. Step 3: Cross multiply
    7,183.68x = 9,905.04 × 5,854.56
  4. Step 4: Simplify right side
    7,183.68x = 57,989,650.98
  5. Step 5: Solve for x
    x = 57,989,650.98/7,183.68
  6. Step 6: Final answer
    x = 8,072.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.