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Finding the Fourth Proportional to 6,354.57, 9,530.50 and 4,011.44

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Solution

The fourth proportional to 6,354.57, 9,530.50 and 4,011.44 is: 6,016.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.57 : 9,530.50 = 4,011.44 : x
  2. Step 2: Convert to fraction form
    6,354.57/9,530.50 = 4,011.44/x
  3. Step 3: Cross multiply
    6,354.57x = 9,530.50 × 4,011.44
  4. Step 4: Simplify right side
    6,354.57x = 38,231,026.73
  5. Step 5: Solve for x
    x = 38,231,026.73/6,354.57
  6. Step 6: Final answer
    x = 6,016.31

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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.