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Finding the Fourth Proportional to 7,799.76, 11,704.76 and 5,203.92

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Solution

The fourth proportional to 7,799.76, 11,704.76 and 5,203.92 is: 7,809.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,799.76 : 11,704.76 = 5,203.92 : x
  2. Step 2: Convert to fraction form
    7,799.76/11,704.76 = 5,203.92/x
  3. Step 3: Cross multiply
    7,799.76x = 11,704.76 × 5,203.92
  4. Step 4: Simplify right side
    7,799.76x = 60,910,634.66
  5. Step 5: Solve for x
    x = 60,910,634.66/7,799.76
  6. Step 6: Final answer
    x = 7,809.30

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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.