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Finding the Fourth Proportional to 11,955, 16,497.90 and 6,987.96

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Solution

The fourth proportional to 11,955, 16,497.90 and 6,987.96 is: 9,643.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,955 : 16,497.90 = 6,987.96 : x
  2. Step 2: Convert to fraction form
    11,955/16,497.90 = 6,987.96/x
  3. Step 3: Cross multiply
    11,955x = 16,497.90 × 6,987.96
  4. Step 4: Simplify right side
    11,955x = 115,286,665.28
  5. Step 5: Solve for x
    x = 115,286,665.28/11,955
  6. Step 6: Final answer
    x = 9,643.38

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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.