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Finding the Fourth Proportional to 11,897.46, 16,413.78 and 7,647.90

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Solution

The fourth proportional to 11,897.46, 16,413.78 and 7,647.90 is: 10,551.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.46 : 16,413.78 = 7,647.90 : x
  2. Step 2: Convert to fraction form
    11,897.46/16,413.78 = 7,647.90/x
  3. Step 3: Cross multiply
    11,897.46x = 16,413.78 × 7,647.90
  4. Step 4: Simplify right side
    11,897.46x = 125,530,948.06
  5. Step 5: Solve for x
    x = 125,530,948.06/11,897.46
  6. Step 6: Final answer
    x = 10,551.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.