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Finding the Fourth Proportional to 12,794.31, 17,638.97 and 11,482.11

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Solution

The fourth proportional to 12,794.31, 17,638.97 and 11,482.11 is: 15,829.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794.31 : 17,638.97 = 11,482.11 : x
  2. Step 2: Convert to fraction form
    12,794.31/17,638.97 = 11,482.11/x
  3. Step 3: Cross multiply
    12,794.31x = 17,638.97 × 11,482.11
  4. Step 4: Simplify right side
    12,794.31x = 202,532,536.42
  5. Step 5: Solve for x
    x = 202,532,536.42/12,794.31
  6. Step 6: Final answer
    x = 15,829.89

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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.