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Finding the Fourth Proportional to 11,733, 17,576.80 and 6,523.08

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Solution

The fourth proportional to 11,733, 17,576.80 and 6,523.08 is: 9,772.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,733 : 17,576.80 = 6,523.08 : x
  2. Step 2: Convert to fraction form
    11,733/17,576.80 = 6,523.08/x
  3. Step 3: Cross multiply
    11,733x = 17,576.80 × 6,523.08
  4. Step 4: Simplify right side
    11,733x = 114,654,872.54
  5. Step 5: Solve for x
    x = 114,654,872.54/11,733
  6. Step 6: Final answer
    x = 9,772.00

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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.