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Finding the Fourth Proportional to 26,966, 40,449 and 7,510

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Solution

The fourth proportional to 26,966, 40,449 and 7,510 is: 11,265

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,966 : 40,449 = 7,510 : x
  2. Step 2: Convert to fraction form
    26,966/40,449 = 7,510/x
  3. Step 3: Cross multiply
    26,966x = 40,449 × 7,510
  4. Step 4: Simplify right side
    26,966x = 303,771,990
  5. Step 5: Solve for x
    x = 303,771,990/26,966
  6. Step 6: Final answer
    x = 11,265

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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.