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Finding the Fourth Proportional to 27,476.22, 41,214.42 and 7,754.88

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Solution

The fourth proportional to 27,476.22, 41,214.42 and 7,754.88 is: 11,632.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,476.22 : 41,214.42 = 7,754.88 : x
  2. Step 2: Convert to fraction form
    27,476.22/41,214.42 = 7,754.88/x
  3. Step 3: Cross multiply
    27,476.22x = 41,214.42 × 7,754.88
  4. Step 4: Simplify right side
    27,476.22x = 319,612,881.37
  5. Step 5: Solve for x
    x = 319,612,881.37/27,476.22
  6. Step 6: Final answer
    x = 11,632.35

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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.