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Finding the Fourth Proportional to 13,673.63, 20,514.09 and 6,748.13

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Solution

The fourth proportional to 13,673.63, 20,514.09 and 6,748.13 is: 10,123.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,673.63 : 20,514.09 = 6,748.13 : x
  2. Step 2: Convert to fraction form
    13,673.63/20,514.09 = 6,748.13/x
  3. Step 3: Cross multiply
    13,673.63x = 20,514.09 × 6,748.13
  4. Step 4: Simplify right side
    13,673.63x = 138,431,643.58
  5. Step 5: Solve for x
    x = 138,431,643.58/13,673.63
  6. Step 6: Final answer
    x = 10,123.99

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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.