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Finding the Fourth Proportional to 14,413.98, 19,891.50 and 8,126.34

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Solution

The fourth proportional to 14,413.98, 19,891.50 and 8,126.34 is: 11,214.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,413.98 : 19,891.50 = 8,126.34 : x
  2. Step 2: Convert to fraction form
    14,413.98/19,891.50 = 8,126.34/x
  3. Step 3: Cross multiply
    14,413.98x = 19,891.50 × 8,126.34
  4. Step 4: Simplify right side
    14,413.98x = 161,645,092.11
  5. Step 5: Solve for x
    x = 161,645,092.11/14,413.98
  6. Step 6: Final answer
    x = 11,214.47

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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.