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Finding the Fourth Proportional to 14,212.16, 19,609.44 and 8,622.08

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Solution

The fourth proportional to 14,212.16, 19,609.44 and 8,622.08 is: 11,896.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,212.16 : 19,609.44 = 8,622.08 : x
  2. Step 2: Convert to fraction form
    14,212.16/19,609.44 = 8,622.08/x
  3. Step 3: Cross multiply
    14,212.16x = 19,609.44 × 8,622.08
  4. Step 4: Simplify right side
    14,212.16x = 169,074,160.44
  5. Step 5: Solve for x
    x = 169,074,160.44/14,212.16
  6. Step 6: Final answer
    x = 11,896.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.