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Finding the Fourth Proportional to 6,207.63, 9,309.14 and 2,046.42

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Solution

The fourth proportional to 6,207.63, 9,309.14 and 2,046.42 is: 3,068.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,207.63 : 9,309.14 = 2,046.42 : x
  2. Step 2: Convert to fraction form
    6,207.63/9,309.14 = 2,046.42/x
  3. Step 3: Cross multiply
    6,207.63x = 9,309.14 × 2,046.42
  4. Step 4: Simplify right side
    6,207.63x = 19,050,410.28
  5. Step 5: Solve for x
    x = 19,050,410.28/6,207.63
  6. Step 6: Final answer
    x = 3,068.87

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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.