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Finding the Fourth Proportional to 27,470.89, 37,899.09 and 17,922

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Solution

The fourth proportional to 27,470.89, 37,899.09 and 17,922 is: 24,725.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,470.89 : 37,899.09 = 17,922 : x
  2. Step 2: Convert to fraction form
    27,470.89/37,899.09 = 17,922/x
  3. Step 3: Cross multiply
    27,470.89x = 37,899.09 × 17,922
  4. Step 4: Simplify right side
    27,470.89x = 679,227,490.98
  5. Step 5: Solve for x
    x = 679,227,490.98/27,470.89
  6. Step 6: Final answer
    x = 24,725.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.