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Finding the Fourth Proportional to 8,089, 11,162.94 and 4,944.52

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Solution

The fourth proportional to 8,089, 11,162.94 and 4,944.52 is: 6,823.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,089 : 11,162.94 = 4,944.52 : x
  2. Step 2: Convert to fraction form
    8,089/11,162.94 = 4,944.52/x
  3. Step 3: Cross multiply
    8,089x = 11,162.94 × 4,944.52
  4. Step 4: Simplify right side
    8,089x = 55,195,380.09
  5. Step 5: Solve for x
    x = 55,195,380.09/8,089
  6. Step 6: Final answer
    x = 6,823.51

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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.