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Finding the Fourth Proportional to 13,081, 19,630.32 and 4,873

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Solution

The fourth proportional to 13,081, 19,630.32 and 4,873 is: 7,312.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,081 : 19,630.32 = 4,873 : x
  2. Step 2: Convert to fraction form
    13,081/19,630.32 = 4,873/x
  3. Step 3: Cross multiply
    13,081x = 19,630.32 × 4,873
  4. Step 4: Simplify right side
    13,081x = 95,658,549.36
  5. Step 5: Solve for x
    x = 95,658,549.36/13,081
  6. Step 6: Final answer
    x = 7,312.79

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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.