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Finding the Fourth Proportional to 17,004, 23,466.96 and 9,553.44

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Solution

The fourth proportional to 17,004, 23,466.96 and 9,553.44 is: 13,184.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,004 : 23,466.96 = 9,553.44 : x
  2. Step 2: Convert to fraction form
    17,004/23,466.96 = 9,553.44/x
  3. Step 3: Cross multiply
    17,004x = 23,466.96 × 9,553.44
  4. Step 4: Simplify right side
    17,004x = 224,190,194.34
  5. Step 5: Solve for x
    x = 224,190,194.34/17,004
  6. Step 6: Final answer
    x = 13,184.56

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1.5x scale

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.