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Finding the Fourth Proportional to 7,464.98, 11,197.74 and 2,467.48

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Solution

The fourth proportional to 7,464.98, 11,197.74 and 2,467.48 is: 3,701.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,464.98 : 11,197.74 = 2,467.48 : x
  2. Step 2: Convert to fraction form
    7,464.98/11,197.74 = 2,467.48/x
  3. Step 3: Cross multiply
    7,464.98x = 11,197.74 × 2,467.48
  4. Step 4: Simplify right side
    7,464.98x = 27,630,199.50
  5. Step 5: Solve for x
    x = 27,630,199.50/7,464.98
  6. Step 6: Final answer
    x = 3,701.31

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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.