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Finding the Fourth Proportional to 6,481.45, 8,944.57 and 3,648.93

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Solution

The fourth proportional to 6,481.45, 8,944.57 and 3,648.93 is: 5,035.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.45 : 8,944.57 = 3,648.93 : x
  2. Step 2: Convert to fraction form
    6,481.45/8,944.57 = 3,648.93/x
  3. Step 3: Cross multiply
    6,481.45x = 8,944.57 × 3,648.93
  4. Step 4: Simplify right side
    6,481.45x = 32,638,109.81
  5. Step 5: Solve for x
    x = 32,638,109.81/6,481.45
  6. Step 6: Final answer
    x = 5,035.62

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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.