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Finding the Fourth Proportional to 6,490.38, 9,729.64 and 3,156.80

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Solution

The fourth proportional to 6,490.38, 9,729.64 and 3,156.80 is: 4,732.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.38 : 9,729.64 = 3,156.80 : x
  2. Step 2: Convert to fraction form
    6,490.38/9,729.64 = 3,156.80/x
  3. Step 3: Cross multiply
    6,490.38x = 9,729.64 × 3,156.80
  4. Step 4: Simplify right side
    6,490.38x = 30,714,519.09
  5. Step 5: Solve for x
    x = 30,714,519.09/6,490.38
  6. Step 6: Final answer
    x = 4,732.32

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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.