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Finding the Fourth Proportional to 6,846.62, 10,275.69 and 6,414.62

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Solution

The fourth proportional to 6,846.62, 10,275.69 and 6,414.62 is: 9,627.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.62 : 10,275.69 = 6,414.62 : x
  2. Step 2: Convert to fraction form
    6,846.62/10,275.69 = 6,414.62/x
  3. Step 3: Cross multiply
    6,846.62x = 10,275.69 × 6,414.62
  4. Step 4: Simplify right side
    6,846.62x = 65,914,646.59
  5. Step 5: Solve for x
    x = 65,914,646.59/6,846.62
  6. Step 6: Final answer
    x = 9,627.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.