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Finding the Fourth Proportional to 12,810, 19,215 and 3,082

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Solution

The fourth proportional to 12,810, 19,215 and 3,082 is: 4,623

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,810 : 19,215 = 3,082 : x
  2. Step 2: Convert to fraction form
    12,810/19,215 = 3,082/x
  3. Step 3: Cross multiply
    12,810x = 19,215 × 3,082
  4. Step 4: Simplify right side
    12,810x = 59,220,630
  5. Step 5: Solve for x
    x = 59,220,630/12,810
  6. Step 6: Final answer
    x = 4,623

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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.