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Finding the Fourth Proportional to 11,666.88, 17,497.92 and 5,089.44

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Solution

The fourth proportional to 11,666.88, 17,497.92 and 5,089.44 is: 7,633.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.88 : 17,497.92 = 5,089.44 : x
  2. Step 2: Convert to fraction form
    11,666.88/17,497.92 = 5,089.44/x
  3. Step 3: Cross multiply
    11,666.88x = 17,497.92 × 5,089.44
  4. Step 4: Simplify right side
    11,666.88x = 89,054,613.96
  5. Step 5: Solve for x
    x = 89,054,613.96/11,666.88
  6. Step 6: Final answer
    x = 7,633.11

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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.