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Finding the Fourth Proportional to 27,812.70, 41,723.10 and 9,088.20

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Solution

The fourth proportional to 27,812.70, 41,723.10 and 9,088.20 is: 13,633.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,812.70 : 41,723.10 = 9,088.20 : x
  2. Step 2: Convert to fraction form
    27,812.70/41,723.10 = 9,088.20/x
  3. Step 3: Cross multiply
    27,812.70x = 41,723.10 × 9,088.20
  4. Step 4: Simplify right side
    27,812.70x = 379,187,877.42
  5. Step 5: Solve for x
    x = 379,187,877.42/27,812.70
  6. Step 6: Final answer
    x = 13,633.62

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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.