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Finding the Fourth Proportional to 12,852, 17,735.76 and 6,964

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Solution

The fourth proportional to 12,852, 17,735.76 and 6,964 is: 9,610.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,852 : 17,735.76 = 6,964 : x
  2. Step 2: Convert to fraction form
    12,852/17,735.76 = 6,964/x
  3. Step 3: Cross multiply
    12,852x = 17,735.76 × 6,964
  4. Step 4: Simplify right side
    12,852x = 123,511,832.64
  5. Step 5: Solve for x
    x = 123,511,832.64/12,852
  6. Step 6: Final answer
    x = 9,610.32

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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.