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Finding the Fourth Proportional to 9,662.65, 13,334.31 and 5,413.68

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Solution

The fourth proportional to 9,662.65, 13,334.31 and 5,413.68 is: 7,470.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.65 : 13,334.31 = 5,413.68 : x
  2. Step 2: Convert to fraction form
    9,662.65/13,334.31 = 5,413.68/x
  3. Step 3: Cross multiply
    9,662.65x = 13,334.31 × 5,413.68
  4. Step 4: Simplify right side
    9,662.65x = 72,187,687.36
  5. Step 5: Solve for x
    x = 72,187,687.36/9,662.65
  6. Step 6: Final answer
    x = 7,470.80

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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.