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Finding the Fourth Proportional to 4,964.14, 7,447.44 and 1,501.39

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Solution

The fourth proportional to 4,964.14, 7,447.44 and 1,501.39 is: 2,252.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.14 : 7,447.44 = 1,501.39 : x
  2. Step 2: Convert to fraction form
    4,964.14/7,447.44 = 1,501.39/x
  3. Step 3: Cross multiply
    4,964.14x = 7,447.44 × 1,501.39
  4. Step 4: Simplify right side
    4,964.14x = 11,181,511.94
  5. Step 5: Solve for x
    x = 11,181,511.94/4,964.14
  6. Step 6: Final answer
    x = 2,252.46

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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.