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Finding the Fourth Proportional to 9,172.56, 13,758.84 and 2,247

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Solution

The fourth proportional to 9,172.56, 13,758.84 and 2,247 is: 3,370.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,172.56 : 13,758.84 = 2,247 : x
  2. Step 2: Convert to fraction form
    9,172.56/13,758.84 = 2,247/x
  3. Step 3: Cross multiply
    9,172.56x = 13,758.84 × 2,247
  4. Step 4: Simplify right side
    9,172.56x = 30,916,113.48
  5. Step 5: Solve for x
    x = 30,916,113.48/9,172.56
  6. Step 6: Final answer
    x = 3,370.50

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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.