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Finding the Fourth Proportional to 10,996.97, 15,169.55 and 6,956.42

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Solution

The fourth proportional to 10,996.97, 15,169.55 and 6,956.42 is: 9,595.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,996.97 : 15,169.55 = 6,956.42 : x
  2. Step 2: Convert to fraction form
    10,996.97/15,169.55 = 6,956.42/x
  3. Step 3: Cross multiply
    10,996.97x = 15,169.55 × 6,956.42
  4. Step 4: Simplify right side
    10,996.97x = 105,525,650.38
  5. Step 5: Solve for x
    x = 105,525,650.38/10,996.97
  6. Step 6: Final answer
    x = 9,595.89

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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.