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Finding the Fourth Proportional to 11,175, 16,762.50 and 2,967

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Solution

The fourth proportional to 11,175, 16,762.50 and 2,967 is: 4,450.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,175 : 16,762.50 = 2,967 : x
  2. Step 2: Convert to fraction form
    11,175/16,762.50 = 2,967/x
  3. Step 3: Cross multiply
    11,175x = 16,762.50 × 2,967
  4. Step 4: Simplify right side
    11,175x = 49,734,337.50
  5. Step 5: Solve for x
    x = 49,734,337.50/11,175
  6. Step 6: Final answer
    x = 4,450.50

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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.