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Finding the Fourth Proportional to 6,141.99, 9,207.21 and 2,854.11

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Solution

The fourth proportional to 6,141.99, 9,207.21 and 2,854.11 is: 4,278.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.99 : 9,207.21 = 2,854.11 : x
  2. Step 2: Convert to fraction form
    6,141.99/9,207.21 = 2,854.11/x
  3. Step 3: Cross multiply
    6,141.99x = 9,207.21 × 2,854.11
  4. Step 4: Simplify right side
    6,141.99x = 26,278,390.13
  5. Step 5: Solve for x
    x = 26,278,390.13/6,141.99
  6. Step 6: Final answer
    x = 4,278.48

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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.