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Finding the Fourth Proportional to 27,697.04, 41,551.76 and 7,974.08

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Solution

The fourth proportional to 27,697.04, 41,551.76 and 7,974.08 is: 11,962.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,697.04 : 41,551.76 = 7,974.08 : x
  2. Step 2: Convert to fraction form
    27,697.04/41,551.76 = 7,974.08/x
  3. Step 3: Cross multiply
    27,697.04x = 41,551.76 × 7,974.08
  4. Step 4: Simplify right side
    27,697.04x = 331,337,058.38
  5. Step 5: Solve for x
    x = 331,337,058.38/27,697.04
  6. Step 6: Final answer
    x = 11,962.91

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1.5x scale

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.