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Finding the Fourth Proportional to 3,141.93, 4,713.75 and 950.74

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Solution

The fourth proportional to 3,141.93, 4,713.75 and 950.74 is: 1,426.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.93 : 4,713.75 = 950.74 : x
  2. Step 2: Convert to fraction form
    3,141.93/4,713.75 = 950.74/x
  3. Step 3: Cross multiply
    3,141.93x = 4,713.75 × 950.74
  4. Step 4: Simplify right side
    3,141.93x = 4,481,550.68
  5. Step 5: Solve for x
    x = 4,481,550.68/3,141.93
  6. Step 6: Final answer
    x = 1,426.37

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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.