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Finding the Fourth Proportional to 14,413.34, 19,895.37 and 8,446.94

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Solution

The fourth proportional to 14,413.34, 19,895.37 and 8,446.94 is: 11,659.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,413.34 : 19,895.37 = 8,446.94 : x
  2. Step 2: Convert to fraction form
    14,413.34/19,895.37 = 8,446.94/x
  3. Step 3: Cross multiply
    14,413.34x = 19,895.37 × 8,446.94
  4. Step 4: Simplify right side
    14,413.34x = 168,054,996.67
  5. Step 5: Solve for x
    x = 168,054,996.67/14,413.34
  6. Step 6: Final answer
    x = 11,659.68

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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.