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Finding the Fourth Proportional to 17,091, 25,648.65 and 6,702.75

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Solution

The fourth proportional to 17,091, 25,648.65 and 6,702.75 is: 10,058.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,091 : 25,648.65 = 6,702.75 : x
  2. Step 2: Convert to fraction form
    17,091/25,648.65 = 6,702.75/x
  3. Step 3: Cross multiply
    17,091x = 25,648.65 × 6,702.75
  4. Step 4: Simplify right side
    17,091x = 171,916,488.79
  5. Step 5: Solve for x
    x = 171,916,488.79/17,091
  6. Step 6: Final answer
    x = 10,058.89

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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.