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Finding the Fourth Proportional to 6,809.86, 10,194.96 and 5,062.60

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Solution

The fourth proportional to 6,809.86, 10,194.96 and 5,062.60 is: 7,579.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.86 : 10,194.96 = 5,062.60 : x
  2. Step 2: Convert to fraction form
    6,809.86/10,194.96 = 5,062.60/x
  3. Step 3: Cross multiply
    6,809.86x = 10,194.96 × 5,062.60
  4. Step 4: Simplify right side
    6,809.86x = 51,613,004.50
  5. Step 5: Solve for x
    x = 51,613,004.50/6,809.86
  6. Step 6: Final answer
    x = 7,579.16

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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.