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Finding the Fourth Proportional to 14,446.24, 21,672.64 and 5,212.24

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Solution

The fourth proportional to 14,446.24, 21,672.64 and 5,212.24 is: 7,819.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,446.24 : 21,672.64 = 5,212.24 : x
  2. Step 2: Convert to fraction form
    14,446.24/21,672.64 = 5,212.24/x
  3. Step 3: Cross multiply
    14,446.24x = 21,672.64 × 5,212.24
  4. Step 4: Simplify right side
    14,446.24x = 112,963,001.11
  5. Step 5: Solve for x
    x = 112,963,001.11/14,446.24
  6. Step 6: Final answer
    x = 7,819.54

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1.5x scale

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.