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Finding the Fourth Proportional to 6,306.68, 9,461.16 and 2,606.90

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Solution

The fourth proportional to 6,306.68, 9,461.16 and 2,606.90 is: 3,910.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.68 : 9,461.16 = 2,606.90 : x
  2. Step 2: Convert to fraction form
    6,306.68/9,461.16 = 2,606.90/x
  3. Step 3: Cross multiply
    6,306.68x = 9,461.16 × 2,606.90
  4. Step 4: Simplify right side
    6,306.68x = 24,664,250.70
  5. Step 5: Solve for x
    x = 24,664,250.70/6,306.68
  6. Step 6: Final answer
    x = 3,910.82

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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.