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Finding the Fourth Proportional to 9,658.70, 14,489.13 and 3,082.58

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Solution

The fourth proportional to 9,658.70, 14,489.13 and 3,082.58 is: 4,624.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.70 : 14,489.13 = 3,082.58 : x
  2. Step 2: Convert to fraction form
    9,658.70/14,489.13 = 3,082.58/x
  3. Step 3: Cross multiply
    9,658.70x = 14,489.13 × 3,082.58
  4. Step 4: Simplify right side
    9,658.70x = 44,663,902.36
  5. Step 5: Solve for x
    x = 44,663,902.36/9,658.70
  6. Step 6: Final answer
    x = 4,624.21

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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.