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Finding the Fourth Proportional to 6,398.66, 9,581.89 and 4,051.56

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Solution

The fourth proportional to 6,398.66, 9,581.89 and 4,051.56 is: 6,067.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.66 : 9,581.89 = 4,051.56 : x
  2. Step 2: Convert to fraction form
    6,398.66/9,581.89 = 4,051.56/x
  3. Step 3: Cross multiply
    6,398.66x = 9,581.89 × 4,051.56
  4. Step 4: Simplify right side
    6,398.66x = 38,821,602.25
  5. Step 5: Solve for x
    x = 38,821,602.25/6,398.66
  6. Step 6: Final answer
    x = 6,067.15

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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.