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Finding the Fourth Proportional to 6,085.68, 8,383.68 and 5,789.22

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Solution

The fourth proportional to 6,085.68, 8,383.68 and 5,789.22 is: 7,975.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,085.68 : 8,383.68 = 5,789.22 : x
  2. Step 2: Convert to fraction form
    6,085.68/8,383.68 = 5,789.22/x
  3. Step 3: Cross multiply
    6,085.68x = 8,383.68 × 5,789.22
  4. Step 4: Simplify right side
    6,085.68x = 48,534,967.93
  5. Step 5: Solve for x
    x = 48,534,967.93/6,085.68
  6. Step 6: Final answer
    x = 7,975.27

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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.