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Finding the Fourth Proportional to 9,846, 14,763.12 and 3,270.48

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Solution

The fourth proportional to 9,846, 14,763.12 and 3,270.48 is: 4,903.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846 : 14,763.12 = 3,270.48 : x
  2. Step 2: Convert to fraction form
    9,846/14,763.12 = 3,270.48/x
  3. Step 3: Cross multiply
    9,846x = 14,763.12 × 3,270.48
  4. Step 4: Simplify right side
    9,846x = 48,282,488.70
  5. Step 5: Solve for x
    x = 48,282,488.70/9,846
  6. Step 6: Final answer
    x = 4,903.77

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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.