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Finding the Fourth Proportional to 14,668, 21,997.68 and 4,277.28

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Solution

The fourth proportional to 14,668, 21,997.68 and 4,277.28 is: 6,414.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,668 : 21,997.68 = 4,277.28 : x
  2. Step 2: Convert to fraction form
    14,668/21,997.68 = 4,277.28/x
  3. Step 3: Cross multiply
    14,668x = 21,997.68 × 4,277.28
  4. Step 4: Simplify right side
    14,668x = 94,090,236.71
  5. Step 5: Solve for x
    x = 94,090,236.71/14,668
  6. Step 6: Final answer
    x = 6,414.66

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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.