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Finding the Fourth Proportional to 7,643.47, 11,462.98 and 2,962.44

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Solution

The fourth proportional to 7,643.47, 11,462.98 and 2,962.44 is: 4,442.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.47 : 11,462.98 = 2,962.44 : x
  2. Step 2: Convert to fraction form
    7,643.47/11,462.98 = 2,962.44/x
  3. Step 3: Cross multiply
    7,643.47x = 11,462.98 × 2,962.44
  4. Step 4: Simplify right side
    7,643.47x = 33,958,318.34
  5. Step 5: Solve for x
    x = 33,958,318.34/7,643.47
  6. Step 6: Final answer
    x = 4,442.79

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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.