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Finding the Fourth Proportional to 27,980.53, 41,965.32 and 8,253.79

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Solution

The fourth proportional to 27,980.53, 41,965.32 and 8,253.79 is: 12,379.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,980.53 : 41,965.32 = 8,253.79 : x
  2. Step 2: Convert to fraction form
    27,980.53/41,965.32 = 8,253.79/x
  3. Step 3: Cross multiply
    27,980.53x = 41,965.32 × 8,253.79
  4. Step 4: Simplify right side
    27,980.53x = 346,372,864.60
  5. Step 5: Solve for x
    x = 346,372,864.60/27,980.53
  6. Step 6: Final answer
    x = 12,379.07

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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.