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Finding the Fourth Proportional to 11,669, 17,506.38 and 3,461

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Solution

The fourth proportional to 11,669, 17,506.38 and 3,461 is: 5,192.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,669 : 17,506.38 = 3,461 : x
  2. Step 2: Convert to fraction form
    11,669/17,506.38 = 3,461/x
  3. Step 3: Cross multiply
    11,669x = 17,506.38 × 3,461
  4. Step 4: Simplify right side
    11,669x = 60,589,581.18
  5. Step 5: Solve for x
    x = 60,589,581.18/11,669
  6. Step 6: Final answer
    x = 5,192.35

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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.