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Finding the Fourth Proportional to 11,448.73, 15,799.82 and 6,412.96

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Solution

The fourth proportional to 11,448.73, 15,799.82 and 6,412.96 is: 8,850.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,448.73 : 15,799.82 = 6,412.96 : x
  2. Step 2: Convert to fraction form
    11,448.73/15,799.82 = 6,412.96/x
  3. Step 3: Cross multiply
    11,448.73x = 15,799.82 × 6,412.96
  4. Step 4: Simplify right side
    11,448.73x = 101,323,613.67
  5. Step 5: Solve for x
    x = 101,323,613.67/11,448.73
  6. Step 6: Final answer
    x = 8,850.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.