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Finding the Fourth Proportional to 27,681.72, 41,521.50 and 7,960.20

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Solution

The fourth proportional to 27,681.72, 41,521.50 and 7,960.20 is: 11,939.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,681.72 : 41,521.50 = 7,960.20 : x
  2. Step 2: Convert to fraction form
    27,681.72/41,521.50 = 7,960.20/x
  3. Step 3: Cross multiply
    27,681.72x = 41,521.50 × 7,960.20
  4. Step 4: Simplify right side
    27,681.72x = 330,519,444.30
  5. Step 5: Solve for x
    x = 330,519,444.30/27,681.72
  6. Step 6: Final answer
    x = 11,939.99

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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.