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Finding the Fourth Proportional to 11,476, 15,836.64 and 6,694.24

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Solution

The fourth proportional to 11,476, 15,836.64 and 6,694.24 is: 9,237.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,476 : 15,836.64 = 6,694.24 : x
  2. Step 2: Convert to fraction form
    11,476/15,836.64 = 6,694.24/x
  3. Step 3: Cross multiply
    11,476x = 15,836.64 × 6,694.24
  4. Step 4: Simplify right side
    11,476x = 106,014,268.95
  5. Step 5: Solve for x
    x = 106,014,268.95/11,476
  6. Step 6: Final answer
    x = 9,237.91

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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.