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Finding the Fourth Proportional to 3,562.13, 5,343.21 and 965.09

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Solution

The fourth proportional to 3,562.13, 5,343.21 and 965.09 is: 1,447.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.13 : 5,343.21 = 965.09 : x
  2. Step 2: Convert to fraction form
    3,562.13/5,343.21 = 965.09/x
  3. Step 3: Cross multiply
    3,562.13x = 5,343.21 × 965.09
  4. Step 4: Simplify right side
    3,562.13x = 5,156,651.82
  5. Step 5: Solve for x
    x = 5,156,651.82/3,562.13
  6. Step 6: Final answer
    x = 1,447.63

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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.