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Finding the Fourth Proportional to 6,245.98, 9,369 and 3,647.09

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Solution

The fourth proportional to 6,245.98, 9,369 and 3,647.09 is: 5,470.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,245.98 : 9,369 = 3,647.09 : x
  2. Step 2: Convert to fraction form
    6,245.98/9,369 = 3,647.09/x
  3. Step 3: Cross multiply
    6,245.98x = 9,369 × 3,647.09
  4. Step 4: Simplify right side
    6,245.98x = 34,169,609.63
  5. Step 5: Solve for x
    x = 34,169,609.63/6,245.98
  6. Step 6: Final answer
    x = 5,470.66

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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.