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Finding the Fourth Proportional to 6,996.34, 9,653.82 and 4,011.63

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Solution

The fourth proportional to 6,996.34, 9,653.82 and 4,011.63 is: 5,535.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.34 : 9,653.82 = 4,011.63 : x
  2. Step 2: Convert to fraction form
    6,996.34/9,653.82 = 4,011.63/x
  3. Step 3: Cross multiply
    6,996.34x = 9,653.82 × 4,011.63
  4. Step 4: Simplify right side
    6,996.34x = 38,727,553.93
  5. Step 5: Solve for x
    x = 38,727,553.93/6,996.34
  6. Step 6: Final answer
    x = 5,535.40

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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.