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Finding the Fourth Proportional to 14,537.54, 21,819.92 and 7,147.30

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Solution

The fourth proportional to 14,537.54, 21,819.92 and 7,147.30 is: 10,727.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,537.54 : 21,819.92 = 7,147.30 : x
  2. Step 2: Convert to fraction form
    14,537.54/21,819.92 = 7,147.30/x
  3. Step 3: Cross multiply
    14,537.54x = 21,819.92 × 7,147.30
  4. Step 4: Simplify right side
    14,537.54x = 155,953,514.22
  5. Step 5: Solve for x
    x = 155,953,514.22/14,537.54
  6. Step 6: Final answer
    x = 10,727.64

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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.