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Finding the Fourth Proportional to 11,982, 16,535.16 and 7,014

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Solution

The fourth proportional to 11,982, 16,535.16 and 7,014 is: 9,679.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,982 : 16,535.16 = 7,014 : x
  2. Step 2: Convert to fraction form
    11,982/16,535.16 = 7,014/x
  3. Step 3: Cross multiply
    11,982x = 16,535.16 × 7,014
  4. Step 4: Simplify right side
    11,982x = 115,977,612.24
  5. Step 5: Solve for x
    x = 115,977,612.24/11,982
  6. Step 6: Final answer
    x = 9,679.32

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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.