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Finding the Fourth Proportional to 7,794.44, 10,754.56 and 4,650

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Solution

The fourth proportional to 7,794.44, 10,754.56 and 4,650 is: 6,415.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.44 : 10,754.56 = 4,650 : x
  2. Step 2: Convert to fraction form
    7,794.44/10,754.56 = 4,650/x
  3. Step 3: Cross multiply
    7,794.44x = 10,754.56 × 4,650
  4. Step 4: Simplify right side
    7,794.44x = 50,008,704
  5. Step 5: Solve for x
    x = 50,008,704/7,794.44
  6. Step 6: Final answer
    x = 6,415.95

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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.