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Finding the Fourth Proportional to 27,047.24, 40,571.01 and 7,325.97

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Solution

The fourth proportional to 27,047.24, 40,571.01 and 7,325.97 is: 10,988.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,047.24 : 40,571.01 = 7,325.97 : x
  2. Step 2: Convert to fraction form
    27,047.24/40,571.01 = 7,325.97/x
  3. Step 3: Cross multiply
    27,047.24x = 40,571.01 × 7,325.97
  4. Step 4: Simplify right side
    27,047.24x = 297,221,849.99
  5. Step 5: Solve for x
    x = 297,221,849.99/27,047.24
  6. Step 6: Final answer
    x = 10,988.99

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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.