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Finding the Fourth Proportional to 6,575.15, 9,853 and 4,103.84

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Solution

The fourth proportional to 6,575.15, 9,853 and 4,103.84 is: 6,149.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.15 : 9,853 = 4,103.84 : x
  2. Step 2: Convert to fraction form
    6,575.15/9,853 = 4,103.84/x
  3. Step 3: Cross multiply
    6,575.15x = 9,853 × 4,103.84
  4. Step 4: Simplify right side
    6,575.15x = 40,435,135.52
  5. Step 5: Solve for x
    x = 40,435,135.52/6,575.15
  6. Step 6: Final answer
    x = 6,149.69

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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.