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Finding the Fourth Proportional to 12,463.40, 17,197.98 and 6,874.04

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Solution

The fourth proportional to 12,463.40, 17,197.98 and 6,874.04 is: 9,485.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,463.40 : 17,197.98 = 6,874.04 : x
  2. Step 2: Convert to fraction form
    12,463.40/17,197.98 = 6,874.04/x
  3. Step 3: Cross multiply
    12,463.40x = 17,197.98 × 6,874.04
  4. Step 4: Simplify right side
    12,463.40x = 118,219,602.44
  5. Step 5: Solve for x
    x = 118,219,602.44/12,463.40
  6. Step 6: Final answer
    x = 9,485.34

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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.