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Finding the Fourth Proportional to 11,154, 16,731.96 and 2,946

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Solution

The fourth proportional to 11,154, 16,731.96 and 2,946 is: 4,419.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,154 : 16,731.96 = 2,946 : x
  2. Step 2: Convert to fraction form
    11,154/16,731.96 = 2,946/x
  3. Step 3: Cross multiply
    11,154x = 16,731.96 × 2,946
  4. Step 4: Simplify right side
    11,154x = 49,292,354.16
  5. Step 5: Solve for x
    x = 49,292,354.16/11,154
  6. Step 6: Final answer
    x = 4,419.25

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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.