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Finding the Fourth Proportional to 8,183.58, 11,293.47 and 4,457.58

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Solution

The fourth proportional to 8,183.58, 11,293.47 and 4,457.58 is: 6,151.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.58 : 11,293.47 = 4,457.58 : x
  2. Step 2: Convert to fraction form
    8,183.58/11,293.47 = 4,457.58/x
  3. Step 3: Cross multiply
    8,183.58x = 11,293.47 × 4,457.58
  4. Step 4: Simplify right side
    8,183.58x = 50,341,546.00
  5. Step 5: Solve for x
    x = 50,341,546.00/8,183.58
  6. Step 6: Final answer
    x = 6,151.53

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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.