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Finding the Fourth Proportional to 10,993, 16,494.30 and 4,065.64

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Solution

The fourth proportional to 10,993, 16,494.30 and 4,065.64 is: 6,100.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993 : 16,494.30 = 4,065.64 : x
  2. Step 2: Convert to fraction form
    10,993/16,494.30 = 4,065.64/x
  3. Step 3: Cross multiply
    10,993x = 16,494.30 × 4,065.64
  4. Step 4: Simplify right side
    10,993x = 67,059,885.85
  5. Step 5: Solve for x
    x = 67,059,885.85/10,993
  6. Step 6: Final answer
    x = 6,100.24

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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.