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Finding the Fourth Proportional to 11,106, 16,646.04 and 6,173.28

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Solution

The fourth proportional to 11,106, 16,646.04 and 6,173.28 is: 9,252.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,106 : 16,646.04 = 6,173.28 : x
  2. Step 2: Convert to fraction form
    11,106/16,646.04 = 6,173.28/x
  3. Step 3: Cross multiply
    11,106x = 16,646.04 × 6,173.28
  4. Step 4: Simplify right side
    11,106x = 102,760,665.81
  5. Step 5: Solve for x
    x = 102,760,665.81/11,106
  6. Step 6: Final answer
    x = 9,252.72

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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.