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Finding the Fourth Proportional to 14,843.36, 22,255.32 and 7,922.72

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Solution

The fourth proportional to 14,843.36, 22,255.32 and 7,922.72 is: 11,878.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,843.36 : 22,255.32 = 7,922.72 : x
  2. Step 2: Convert to fraction form
    14,843.36/22,255.32 = 7,922.72/x
  3. Step 3: Cross multiply
    14,843.36x = 22,255.32 × 7,922.72
  4. Step 4: Simplify right side
    14,843.36x = 176,322,668.87
  5. Step 5: Solve for x
    x = 176,322,668.87/14,843.36
  6. Step 6: Final answer
    x = 11,878.89

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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.