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Finding the Fourth Proportional to 6,572.85, 9,846.97 and 5,104.82

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Solution

The fourth proportional to 6,572.85, 9,846.97 and 5,104.82 is: 7,647.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,572.85 : 9,846.97 = 5,104.82 : x
  2. Step 2: Convert to fraction form
    6,572.85/9,846.97 = 5,104.82/x
  3. Step 3: Cross multiply
    6,572.85x = 9,846.97 × 5,104.82
  4. Step 4: Simplify right side
    6,572.85x = 50,267,021.25
  5. Step 5: Solve for x
    x = 50,267,021.25/6,572.85
  6. Step 6: Final answer
    x = 7,647.68

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1.5x scale

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.