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Finding the Fourth Proportional to 7,774.75, 10,723.36 and 6,092.81

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Solution

The fourth proportional to 7,774.75, 10,723.36 and 6,092.81 is: 8,403.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.75 : 10,723.36 = 6,092.81 : x
  2. Step 2: Convert to fraction form
    7,774.75/10,723.36 = 6,092.81/x
  3. Step 3: Cross multiply
    7,774.75x = 10,723.36 × 6,092.81
  4. Step 4: Simplify right side
    7,774.75x = 65,335,379.89
  5. Step 5: Solve for x
    x = 65,335,379.89/7,774.75
  6. Step 6: Final answer
    x = 8,403.54

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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.