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Finding the Fourth Proportional to 11,656.41, 17,472.17 and 6,648.00

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Solution

The fourth proportional to 11,656.41, 17,472.17 and 6,648.00 is: 9,964.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.41 : 17,472.17 = 6,648.00 : x
  2. Step 2: Convert to fraction form
    11,656.41/17,472.17 = 6,648.00/x
  3. Step 3: Cross multiply
    11,656.41x = 17,472.17 × 6,648.00
  4. Step 4: Simplify right side
    11,656.41x = 116,154,960.68
  5. Step 5: Solve for x
    x = 116,154,960.68/11,656.41
  6. Step 6: Final answer
    x = 9,964.90

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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.