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Finding the Fourth Proportional to 12,242.37, 16,898.32 and 6,940.72

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Solution

The fourth proportional to 12,242.37, 16,898.32 and 6,940.72 is: 9,580.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,242.37 : 16,898.32 = 6,940.72 : x
  2. Step 2: Convert to fraction form
    12,242.37/16,898.32 = 6,940.72/x
  3. Step 3: Cross multiply
    12,242.37x = 16,898.32 × 6,940.72
  4. Step 4: Simplify right side
    12,242.37x = 117,286,537.39
  5. Step 5: Solve for x
    x = 117,286,537.39/12,242.37
  6. Step 6: Final answer
    x = 9,580.38

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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.