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Finding the Fourth Proportional to 11,964, 16,514.64 and 6,996

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Solution

The fourth proportional to 11,964, 16,514.64 and 6,996 is: 9,657.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,964 : 16,514.64 = 6,996 : x
  2. Step 2: Convert to fraction form
    11,964/16,514.64 = 6,996/x
  3. Step 3: Cross multiply
    11,964x = 16,514.64 × 6,996
  4. Step 4: Simplify right side
    11,964x = 115,536,421.44
  5. Step 5: Solve for x
    x = 115,536,421.44/11,964
  6. Step 6: Final answer
    x = 9,657.01

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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.