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Finding the Fourth Proportional to 6,040.43, 9,070.64 and 4,078.65

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Solution

The fourth proportional to 6,040.43, 9,070.64 and 4,078.65 is: 6,124.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,040.43 : 9,070.64 = 4,078.65 : x
  2. Step 2: Convert to fraction form
    6,040.43/9,070.64 = 4,078.65/x
  3. Step 3: Cross multiply
    6,040.43x = 9,070.64 × 4,078.65
  4. Step 4: Simplify right side
    6,040.43x = 36,995,945.44
  5. Step 5: Solve for x
    x = 36,995,945.44/6,040.43
  6. Step 6: Final answer
    x = 6,124.73

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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.