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Finding the Fourth Proportional to 17,601, 26,413.02 and 6,657

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Solution

The fourth proportional to 17,601, 26,413.02 and 6,657 is: 9,989.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,601 : 26,413.02 = 6,657 : x
  2. Step 2: Convert to fraction form
    17,601/26,413.02 = 6,657/x
  3. Step 3: Cross multiply
    17,601x = 26,413.02 × 6,657
  4. Step 4: Simplify right side
    17,601x = 175,831,474.14
  5. Step 5: Solve for x
    x = 175,831,474.14/17,601
  6. Step 6: Final answer
    x = 9,989.86

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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.