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Finding the Fourth Proportional to 17,164.31, 25,758 and 6,070.95

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Solution

The fourth proportional to 17,164.31, 25,758 and 6,070.95 is: 9,110.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,164.31 : 25,758 = 6,070.95 : x
  2. Step 2: Convert to fraction form
    17,164.31/25,758 = 6,070.95/x
  3. Step 3: Cross multiply
    17,164.31x = 25,758 × 6,070.95
  4. Step 4: Simplify right side
    17,164.31x = 156,375,530.10
  5. Step 5: Solve for x
    x = 156,375,530.10/17,164.31
  6. Step 6: Final answer
    x = 9,110.51

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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.