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Finding the Fourth Proportional to 6,806.66, 10,207.47 and 2,422.94

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Solution

The fourth proportional to 6,806.66, 10,207.47 and 2,422.94 is: 3,633.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.66 : 10,207.47 = 2,422.94 : x
  2. Step 2: Convert to fraction form
    6,806.66/10,207.47 = 2,422.94/x
  3. Step 3: Cross multiply
    6,806.66x = 10,207.47 × 2,422.94
  4. Step 4: Simplify right side
    6,806.66x = 24,732,087.36
  5. Step 5: Solve for x
    x = 24,732,087.36/6,806.66
  6. Step 6: Final answer
    x = 3,633.51

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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.