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Finding the Fourth Proportional to 17,071, 25,606.68 and 4,759

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Solution

The fourth proportional to 17,071, 25,606.68 and 4,759 is: 7,138.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,071 : 25,606.68 = 4,759 : x
  2. Step 2: Convert to fraction form
    17,071/25,606.68 = 4,759/x
  3. Step 3: Cross multiply
    17,071x = 25,606.68 × 4,759
  4. Step 4: Simplify right side
    17,071x = 121,862,190.12
  5. Step 5: Solve for x
    x = 121,862,190.12/17,071
  6. Step 6: Final answer
    x = 7,138.55

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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.