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Finding the Fourth Proportional to 7,777.88, 11,659.82 and 2,844.06

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Solution

The fourth proportional to 7,777.88, 11,659.82 and 2,844.06 is: 4,263.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.88 : 11,659.82 = 2,844.06 : x
  2. Step 2: Convert to fraction form
    7,777.88/11,659.82 = 2,844.06/x
  3. Step 3: Cross multiply
    7,777.88x = 11,659.82 × 2,844.06
  4. Step 4: Simplify right side
    7,777.88x = 33,161,227.67
  5. Step 5: Solve for x
    x = 33,161,227.67/7,777.88
  6. Step 6: Final answer
    x = 4,263.53

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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.