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Finding the Fourth Proportional to 27,512, 37,967.38 and 14,937.56

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Solution

The fourth proportional to 27,512, 37,967.38 and 14,937.56 is: 20,614.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,512 : 37,967.38 = 14,937.56 : x
  2. Step 2: Convert to fraction form
    27,512/37,967.38 = 14,937.56/x
  3. Step 3: Cross multiply
    27,512x = 37,967.38 × 14,937.56
  4. Step 4: Simplify right side
    27,512x = 567,140,016.79
  5. Step 5: Solve for x
    x = 567,140,016.79/27,512
  6. Step 6: Final answer
    x = 20,614.28

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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.