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Finding the Fourth Proportional to 7,766.71, 10,718.07 and 4,229.92

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Solution

The fourth proportional to 7,766.71, 10,718.07 and 4,229.92 is: 5,837.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.71 : 10,718.07 = 4,229.92 : x
  2. Step 2: Convert to fraction form
    7,766.71/10,718.07 = 4,229.92/x
  3. Step 3: Cross multiply
    7,766.71x = 10,718.07 × 4,229.92
  4. Step 4: Simplify right side
    7,766.71x = 45,336,578.65
  5. Step 5: Solve for x
    x = 45,336,578.65/7,766.71
  6. Step 6: Final answer
    x = 5,837.30

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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.