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Finding the Fourth Proportional to 27,496.84, 41,240.08 and 7,775.24

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Solution

The fourth proportional to 27,496.84, 41,240.08 and 7,775.24 is: 11,661.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,496.84 : 41,240.08 = 7,775.24 : x
  2. Step 2: Convert to fraction form
    27,496.84/41,240.08 = 7,775.24/x
  3. Step 3: Cross multiply
    27,496.84x = 41,240.08 × 7,775.24
  4. Step 4: Simplify right side
    27,496.84x = 320,651,519.62
  5. Step 5: Solve for x
    x = 320,651,519.62/27,496.84
  6. Step 6: Final answer
    x = 11,661.40

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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.