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Finding the Fourth Proportional to 7,173.64, 10,749.66 and 4,249

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Solution

The fourth proportional to 7,173.64, 10,749.66 and 4,249 is: 6,367.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,173.64 : 10,749.66 = 4,249 : x
  2. Step 2: Convert to fraction form
    7,173.64/10,749.66 = 4,249/x
  3. Step 3: Cross multiply
    7,173.64x = 10,749.66 × 4,249
  4. Step 4: Simplify right side
    7,173.64x = 45,675,305.34
  5. Step 5: Solve for x
    x = 45,675,305.34/7,173.64
  6. Step 6: Final answer
    x = 6,367.10

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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.