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Finding the Fourth Proportional to 6,825.56, 9,419.23 and 3,841.42

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Solution

The fourth proportional to 6,825.56, 9,419.23 and 3,841.42 is: 5,301.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.56 : 9,419.23 = 3,841.42 : x
  2. Step 2: Convert to fraction form
    6,825.56/9,419.23 = 3,841.42/x
  3. Step 3: Cross multiply
    6,825.56x = 9,419.23 × 3,841.42
  4. Step 4: Simplify right side
    6,825.56x = 36,183,218.51
  5. Step 5: Solve for x
    x = 36,183,218.51/6,825.56
  6. Step 6: Final answer
    x = 5,301.14

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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.