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Finding the Fourth Proportional to 10,983, 16,474.56 and 2,775

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Solution

The fourth proportional to 10,983, 16,474.56 and 2,775 is: 4,162.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,983 : 16,474.56 = 2,775 : x
  2. Step 2: Convert to fraction form
    10,983/16,474.56 = 2,775/x
  3. Step 3: Cross multiply
    10,983x = 16,474.56 × 2,775
  4. Step 4: Simplify right side
    10,983x = 45,716,904
  5. Step 5: Solve for x
    x = 45,716,904/10,983
  6. Step 6: Final answer
    x = 4,162.52

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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.