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Finding the Fourth Proportional to 3,162.67, 4,743.34 and 941.51

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Solution

The fourth proportional to 3,162.67, 4,743.34 and 941.51 is: 1,412.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.67 : 4,743.34 = 941.51 : x
  2. Step 2: Convert to fraction form
    3,162.67/4,743.34 = 941.51/x
  3. Step 3: Cross multiply
    3,162.67x = 4,743.34 × 941.51
  4. Step 4: Simplify right side
    3,162.67x = 4,465,902.04
  5. Step 5: Solve for x
    x = 4,465,902.04/3,162.67
  6. Step 6: Final answer
    x = 1,412.07

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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.