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Finding the Fourth Proportional to 27,213.24, 40,819.86 and 8,746.68

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Solution

The fourth proportional to 27,213.24, 40,819.86 and 8,746.68 is: 13,120.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,213.24 : 40,819.86 = 8,746.68 : x
  2. Step 2: Convert to fraction form
    27,213.24/40,819.86 = 8,746.68/x
  3. Step 3: Cross multiply
    27,213.24x = 40,819.86 × 8,746.68
  4. Step 4: Simplify right side
    27,213.24x = 357,038,253.06
  5. Step 5: Solve for x
    x = 357,038,253.06/27,213.24
  6. Step 6: Final answer
    x = 13,120.02

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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.