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Finding the Fourth Proportional to 7,777.89, 10,733.60 and 4,241.10

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Solution

The fourth proportional to 7,777.89, 10,733.60 and 4,241.10 is: 5,852.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.89 : 10,733.60 = 4,241.10 : x
  2. Step 2: Convert to fraction form
    7,777.89/10,733.60 = 4,241.10/x
  3. Step 3: Cross multiply
    7,777.89x = 10,733.60 × 4,241.10
  4. Step 4: Simplify right side
    7,777.89x = 45,522,249.75
  5. Step 5: Solve for x
    x = 45,522,249.75/7,777.89
  6. Step 6: Final answer
    x = 5,852.78

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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.