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Finding the Fourth Proportional to 7,534, 11,301 and 2,917

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Solution

The fourth proportional to 7,534, 11,301 and 2,917 is: 4,375.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534 : 11,301 = 2,917 : x
  2. Step 2: Convert to fraction form
    7,534/11,301 = 2,917/x
  3. Step 3: Cross multiply
    7,534x = 11,301 × 2,917
  4. Step 4: Simplify right side
    7,534x = 32,965,017
  5. Step 5: Solve for x
    x = 32,965,017/7,534
  6. Step 6: Final answer
    x = 4,375.50

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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.