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Finding the Fourth Proportional to 27,225.20, 40,837.80 and 9,714.80

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Solution

The fourth proportional to 27,225.20, 40,837.80 and 9,714.80 is: 14,572.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,225.20 : 40,837.80 = 9,714.80 : x
  2. Step 2: Convert to fraction form
    27,225.20/40,837.80 = 9,714.80/x
  3. Step 3: Cross multiply
    27,225.20x = 40,837.80 × 9,714.80
  4. Step 4: Simplify right side
    27,225.20x = 396,731,059.44
  5. Step 5: Solve for x
    x = 396,731,059.44/27,225.20
  6. Step 6: Final answer
    x = 14,572.20

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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.