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Finding the Fourth Proportional to 3,144.47, 4,716.70 and 835.97

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Solution

The fourth proportional to 3,144.47, 4,716.70 and 835.97 is: 1,253.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.47 : 4,716.70 = 835.97 : x
  2. Step 2: Convert to fraction form
    3,144.47/4,716.70 = 835.97/x
  3. Step 3: Cross multiply
    3,144.47x = 4,716.70 × 835.97
  4. Step 4: Simplify right side
    3,144.47x = 3,943,019.70
  5. Step 5: Solve for x
    x = 3,943,019.70/3,144.47
  6. Step 6: Final answer
    x = 1,253.95

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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.