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Finding the Fourth Proportional to 6,364.57, 9,546.84 and 3,589.98

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Solution

The fourth proportional to 6,364.57, 9,546.84 and 3,589.98 is: 5,384.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.57 : 9,546.84 = 3,589.98 : x
  2. Step 2: Convert to fraction form
    6,364.57/9,546.84 = 3,589.98/x
  3. Step 3: Cross multiply
    6,364.57x = 9,546.84 × 3,589.98
  4. Step 4: Simplify right side
    6,364.57x = 34,272,964.66
  5. Step 5: Solve for x
    x = 34,272,964.66/6,364.57
  6. Step 6: Final answer
    x = 5,384.96

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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.