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Finding the Fourth Proportional to 6,523.47, 9,772.88 and 3,234.76

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Solution

The fourth proportional to 6,523.47, 9,772.88 and 3,234.76 is: 4,846.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.47 : 9,772.88 = 3,234.76 : x
  2. Step 2: Convert to fraction form
    6,523.47/9,772.88 = 3,234.76/x
  3. Step 3: Cross multiply
    6,523.47x = 9,772.88 × 3,234.76
  4. Step 4: Simplify right side
    6,523.47x = 31,612,880.70
  5. Step 5: Solve for x
    x = 31,612,880.70/6,523.47
  6. Step 6: Final answer
    x = 4,846.02

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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.