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Finding the Fourth Proportional to 26,974, 40,461 and 8,506

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Solution

The fourth proportional to 26,974, 40,461 and 8,506 is: 12,759

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,974 : 40,461 = 8,506 : x
  2. Step 2: Convert to fraction form
    26,974/40,461 = 8,506/x
  3. Step 3: Cross multiply
    26,974x = 40,461 × 8,506
  4. Step 4: Simplify right side
    26,974x = 344,161,266
  5. Step 5: Solve for x
    x = 344,161,266/26,974
  6. Step 6: Final answer
    x = 12,759

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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.