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Finding the Fourth Proportional to 7,729.52, 11,610.09 and 5,100.80

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Solution

The fourth proportional to 7,729.52, 11,610.09 and 5,100.80 is: 7,661.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.52 : 11,610.09 = 5,100.80 : x
  2. Step 2: Convert to fraction form
    7,729.52/11,610.09 = 5,100.80/x
  3. Step 3: Cross multiply
    7,729.52x = 11,610.09 × 5,100.80
  4. Step 4: Simplify right side
    7,729.52x = 59,220,689.02
  5. Step 5: Solve for x
    x = 59,220,689.02/7,729.52
  6. Step 6: Final answer
    x = 7,661.63

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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.