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Finding the Fourth Proportional to 9,178.46, 13,765.73 and 2,604.71

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Solution

The fourth proportional to 9,178.46, 13,765.73 and 2,604.71 is: 3,906.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.46 : 13,765.73 = 2,604.71 : x
  2. Step 2: Convert to fraction form
    9,178.46/13,765.73 = 2,604.71/x
  3. Step 3: Cross multiply
    9,178.46x = 13,765.73 × 2,604.71
  4. Step 4: Simplify right side
    9,178.46x = 35,855,652.74
  5. Step 5: Solve for x
    x = 35,855,652.74/9,178.46
  6. Step 6: Final answer
    x = 3,906.50

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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.