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Finding the Fourth Proportional to 6,962, 10,443 and 2,345

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Solution

The fourth proportional to 6,962, 10,443 and 2,345 is: 3,517.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,962 : 10,443 = 2,345 : x
  2. Step 2: Convert to fraction form
    6,962/10,443 = 2,345/x
  3. Step 3: Cross multiply
    6,962x = 10,443 × 2,345
  4. Step 4: Simplify right side
    6,962x = 24,488,835
  5. Step 5: Solve for x
    x = 24,488,835/6,962
  6. Step 6: Final answer
    x = 3,517.50

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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.