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Finding the Fourth Proportional to 17,602, 26,414.52 and 6,658

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Solution

The fourth proportional to 17,602, 26,414.52 and 6,658 is: 9,991.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,602 : 26,414.52 = 6,658 : x
  2. Step 2: Convert to fraction form
    17,602/26,414.52 = 6,658/x
  3. Step 3: Cross multiply
    17,602x = 26,414.52 × 6,658
  4. Step 4: Simplify right side
    17,602x = 175,867,874.16
  5. Step 5: Solve for x
    x = 175,867,874.16/17,602
  6. Step 6: Final answer
    x = 9,991.36

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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.