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Finding the Fourth Proportional to 6,415.62, 9,623.17 and 2,256.57

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Solution

The fourth proportional to 6,415.62, 9,623.17 and 2,256.57 is: 3,384.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.62 : 9,623.17 = 2,256.57 : x
  2. Step 2: Convert to fraction form
    6,415.62/9,623.17 = 2,256.57/x
  3. Step 3: Cross multiply
    6,415.62x = 9,623.17 × 2,256.57
  4. Step 4: Simplify right side
    6,415.62x = 21,715,356.73
  5. Step 5: Solve for x
    x = 21,715,356.73/6,415.62
  6. Step 6: Final answer
    x = 3,384.76

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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.