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Finding the Fourth Proportional to 6,467.44, 9,700.69 and 2,306.98

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Solution

The fourth proportional to 6,467.44, 9,700.69 and 2,306.98 is: 3,460.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.44 : 9,700.69 = 2,306.98 : x
  2. Step 2: Convert to fraction form
    6,467.44/9,700.69 = 2,306.98/x
  3. Step 3: Cross multiply
    6,467.44x = 9,700.69 × 2,306.98
  4. Step 4: Simplify right side
    6,467.44x = 22,379,237.78
  5. Step 5: Solve for x
    x = 22,379,237.78/6,467.44
  6. Step 6: Final answer
    x = 3,460.30

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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.