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Finding the Fourth Proportional to 10,757.00, 14,822.78 and 8,239.11

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Solution

The fourth proportional to 10,757.00, 14,822.78 and 8,239.11 is: 11,353.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,757.00 : 14,822.78 = 8,239.11 : x
  2. Step 2: Convert to fraction form
    10,757.00/14,822.78 = 8,239.11/x
  3. Step 3: Cross multiply
    10,757.00x = 14,822.78 × 8,239.11
  4. Step 4: Simplify right side
    10,757.00x = 122,126,473.73
  5. Step 5: Solve for x
    x = 122,126,473.73/10,757.00
  6. Step 6: Final answer
    x = 11,353.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.