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Finding the Fourth Proportional to 11,674.94, 17,500.86 and 4,650.72

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Solution

The fourth proportional to 11,674.94, 17,500.86 and 4,650.72 is: 6,971.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,674.94 : 17,500.86 = 4,650.72 : x
  2. Step 2: Convert to fraction form
    11,674.94/17,500.86 = 4,650.72/x
  3. Step 3: Cross multiply
    11,674.94x = 17,500.86 × 4,650.72
  4. Step 4: Simplify right side
    11,674.94x = 81,391,533.99
  5. Step 5: Solve for x
    x = 81,391,533.99/11,674.94
  6. Step 6: Final answer
    x = 6,971.48

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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.