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Finding the Fourth Proportional to 3,648.68, 5,473.10 and 1,183.50

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Solution

The fourth proportional to 3,648.68, 5,473.10 and 1,183.50 is: 1,775.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.68 : 5,473.10 = 1,183.50 : x
  2. Step 2: Convert to fraction form
    3,648.68/5,473.10 = 1,183.50/x
  3. Step 3: Cross multiply
    3,648.68x = 5,473.10 × 1,183.50
  4. Step 4: Simplify right side
    3,648.68x = 6,477,407.93
  5. Step 5: Solve for x
    x = 6,477,407.93/3,648.68
  6. Step 6: Final answer
    x = 1,775.28

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1.5x scale

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.