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Finding the Fourth Proportional to 18,527.32, 27,782.47 and 7,992.29

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Solution

The fourth proportional to 18,527.32, 27,782.47 and 7,992.29 is: 11,984.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,527.32 : 27,782.47 = 7,992.29 : x
  2. Step 2: Convert to fraction form
    18,527.32/27,782.47 = 7,992.29/x
  3. Step 3: Cross multiply
    18,527.32x = 27,782.47 × 7,992.29
  4. Step 4: Simplify right side
    18,527.32x = 222,045,557.16
  5. Step 5: Solve for x
    x = 222,045,557.16/18,527.32
  6. Step 6: Final answer
    x = 11,984.76

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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.