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Finding the Fourth Proportional to 9,274, 13,911.24 and 3,118

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Solution

The fourth proportional to 9,274, 13,911.24 and 3,118 is: 4,677.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274 : 13,911.24 = 3,118 : x
  2. Step 2: Convert to fraction form
    9,274/13,911.24 = 3,118/x
  3. Step 3: Cross multiply
    9,274x = 13,911.24 × 3,118
  4. Step 4: Simplify right side
    9,274x = 43,375,246.32
  5. Step 5: Solve for x
    x = 43,375,246.32/9,274
  6. Step 6: Final answer
    x = 4,677.08

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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.