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Finding the Fourth Proportional to 27,974, 41,967.48 and 9,506

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Solution

The fourth proportional to 27,974, 41,967.48 and 9,506 is: 14,261.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,974 : 41,967.48 = 9,506 : x
  2. Step 2: Convert to fraction form
    27,974/41,967.48 = 9,506/x
  3. Step 3: Cross multiply
    27,974x = 41,967.48 × 9,506
  4. Step 4: Simplify right side
    27,974x = 398,942,864.88
  5. Step 5: Solve for x
    x = 398,942,864.88/27,974
  6. Step 6: Final answer
    x = 14,261.20

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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.