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Finding the Fourth Proportional to 14,651.76, 21,962.28 and 6,854

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Solution

The fourth proportional to 14,651.76, 21,962.28 and 6,854 is: 10,273.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,651.76 : 21,962.28 = 6,854 : x
  2. Step 2: Convert to fraction form
    14,651.76/21,962.28 = 6,854/x
  3. Step 3: Cross multiply
    14,651.76x = 21,962.28 × 6,854
  4. Step 4: Simplify right side
    14,651.76x = 150,529,467.12
  5. Step 5: Solve for x
    x = 150,529,467.12/14,651.76
  6. Step 6: Final answer
    x = 10,273.81

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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.