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Finding the Fourth Proportional to 27,050, 40,576.84 and 8,328.88

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Solution

The fourth proportional to 27,050, 40,576.84 and 8,328.88 is: 12,493.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,050 : 40,576.84 = 8,328.88 : x
  2. Step 2: Convert to fraction form
    27,050/40,576.84 = 8,328.88/x
  3. Step 3: Cross multiply
    27,050x = 40,576.84 × 8,328.88
  4. Step 4: Simplify right side
    27,050x = 337,959,631.14
  5. Step 5: Solve for x
    x = 337,959,631.14/27,050
  6. Step 6: Final answer
    x = 12,493.89

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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.