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Finding the Fourth Proportional to 11,496, 17,231.72 and 6,555

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Solution

The fourth proportional to 11,496, 17,231.72 and 6,555 is: 9,825.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496 : 17,231.72 = 6,555 : x
  2. Step 2: Convert to fraction form
    11,496/17,231.72 = 6,555/x
  3. Step 3: Cross multiply
    11,496x = 17,231.72 × 6,555
  4. Step 4: Simplify right side
    11,496x = 112,953,924.60
  5. Step 5: Solve for x
    x = 112,953,924.60/11,496
  6. Step 6: Final answer
    x = 9,825.50

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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.