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Finding the Fourth Proportional to 11,667.84, 17,502 and 6,506.56

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Solution

The fourth proportional to 11,667.84, 17,502 and 6,506.56 is: 9,759.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,667.84 : 17,502 = 6,506.56 : x
  2. Step 2: Convert to fraction form
    11,667.84/17,502 = 6,506.56/x
  3. Step 3: Cross multiply
    11,667.84x = 17,502 × 6,506.56
  4. Step 4: Simplify right side
    11,667.84x = 113,877,813.12
  5. Step 5: Solve for x
    x = 113,877,813.12/11,667.84
  6. Step 6: Final answer
    x = 9,759.97

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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.