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Finding the Fourth Proportional to 21,633.96, 32,448.12 and 6,844.38

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Solution

The fourth proportional to 21,633.96, 32,448.12 and 6,844.38 is: 10,265.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,633.96 : 32,448.12 = 6,844.38 : x
  2. Step 2: Convert to fraction form
    21,633.96/32,448.12 = 6,844.38/x
  3. Step 3: Cross multiply
    21,633.96x = 32,448.12 × 6,844.38
  4. Step 4: Simplify right side
    21,633.96x = 222,087,263.57
  5. Step 5: Solve for x
    x = 222,087,263.57/21,633.96
  6. Step 6: Final answer
    x = 10,265.68

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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.