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Finding the Fourth Proportional to 27,409.80, 41,114.70 and 7,691.70

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Solution

The fourth proportional to 27,409.80, 41,114.70 and 7,691.70 is: 11,537.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,409.80 : 41,114.70 = 7,691.70 : x
  2. Step 2: Convert to fraction form
    27,409.80/41,114.70 = 7,691.70/x
  3. Step 3: Cross multiply
    27,409.80x = 41,114.70 × 7,691.70
  4. Step 4: Simplify right side
    27,409.80x = 316,241,937.99
  5. Step 5: Solve for x
    x = 316,241,937.99/27,409.80
  6. Step 6: Final answer
    x = 11,537.55

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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.