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Finding the Fourth Proportional to 27,751.64, 41,607.96 and 10,219.20

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Solution

The fourth proportional to 27,751.64, 41,607.96 and 10,219.20 is: 15,321.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,751.64 : 41,607.96 = 10,219.20 : x
  2. Step 2: Convert to fraction form
    27,751.64/41,607.96 = 10,219.20/x
  3. Step 3: Cross multiply
    27,751.64x = 41,607.96 × 10,219.20
  4. Step 4: Simplify right side
    27,751.64x = 425,200,064.83
  5. Step 5: Solve for x
    x = 425,200,064.83/27,751.64
  6. Step 6: Final answer
    x = 15,321.62

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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.