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Finding the Fourth Proportional to 6,463.07, 9,694.06 and 2,566.43

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Solution

The fourth proportional to 6,463.07, 9,694.06 and 2,566.43 is: 3,849.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.07 : 9,694.06 = 2,566.43 : x
  2. Step 2: Convert to fraction form
    6,463.07/9,694.06 = 2,566.43/x
  3. Step 3: Cross multiply
    6,463.07x = 9,694.06 × 2,566.43
  4. Step 4: Simplify right side
    6,463.07x = 24,879,126.41
  5. Step 5: Solve for x
    x = 24,879,126.41/6,463.07
  6. Step 6: Final answer
    x = 3,849.43

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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.