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Finding the Fourth Proportional to 7,777.77, 11,662.70 and 2,846.13

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Solution

The fourth proportional to 7,777.77, 11,662.70 and 2,846.13 is: 4,267.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.77 : 11,662.70 = 2,846.13 : x
  2. Step 2: Convert to fraction form
    7,777.77/11,662.70 = 2,846.13/x
  3. Step 3: Cross multiply
    7,777.77x = 11,662.70 × 2,846.13
  4. Step 4: Simplify right side
    7,777.77x = 33,193,546.12
  5. Step 5: Solve for x
    x = 33,193,546.12/7,777.77
  6. Step 6: Final answer
    x = 4,267.75

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1.5x scale

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.