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Finding the Fourth Proportional to 7,766.67, 10,716.26 and 6,512.79

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Solution

The fourth proportional to 7,766.67, 10,716.26 and 6,512.79 is: 8,986.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.67 : 10,716.26 = 6,512.79 : x
  2. Step 2: Convert to fraction form
    7,766.67/10,716.26 = 6,512.79/x
  3. Step 3: Cross multiply
    7,766.67x = 10,716.26 × 6,512.79
  4. Step 4: Simplify right side
    7,766.67x = 69,792,718.40
  5. Step 5: Solve for x
    x = 69,792,718.40/7,766.67
  6. Step 6: Final answer
    x = 8,986.18

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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.