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Finding the Fourth Proportional to 17,004.98, 25,507.43 and 4,525

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Solution

The fourth proportional to 17,004.98, 25,507.43 and 4,525 is: 6,787.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,004.98 : 25,507.43 = 4,525 : x
  2. Step 2: Convert to fraction form
    17,004.98/25,507.43 = 4,525/x
  3. Step 3: Cross multiply
    17,004.98x = 25,507.43 × 4,525
  4. Step 4: Simplify right side
    17,004.98x = 115,421,120.75
  5. Step 5: Solve for x
    x = 115,421,120.75/17,004.98
  6. Step 6: Final answer
    x = 6,787.49

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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.