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Finding the Fourth Proportional to 27,740.64, 41,604.80 and 8,014.88

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Solution

The fourth proportional to 27,740.64, 41,604.80 and 8,014.88 is: 12,020.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,740.64 : 41,604.80 = 8,014.88 : x
  2. Step 2: Convert to fraction form
    27,740.64/41,604.80 = 8,014.88/x
  3. Step 3: Cross multiply
    27,740.64x = 41,604.80 × 8,014.88
  4. Step 4: Simplify right side
    27,740.64x = 333,457,479.42
  5. Step 5: Solve for x
    x = 333,457,479.42/27,740.64
  6. Step 6: Final answer
    x = 12,020.54

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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.