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Finding the Fourth Proportional to 12,285.78, 16,954.38 and 6,980.60

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Solution

The fourth proportional to 12,285.78, 16,954.38 and 6,980.60 is: 9,633.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,285.78 : 16,954.38 = 6,980.60 : x
  2. Step 2: Convert to fraction form
    12,285.78/16,954.38 = 6,980.60/x
  3. Step 3: Cross multiply
    12,285.78x = 16,954.38 × 6,980.60
  4. Step 4: Simplify right side
    12,285.78x = 118,351,710.13
  5. Step 5: Solve for x
    x = 118,351,710.13/12,285.78
  6. Step 6: Final answer
    x = 9,633.23

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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.