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Finding the Fourth Proportional to 12,806.96, 17,672.34 and 9,451.58

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Solution

The fourth proportional to 12,806.96, 17,672.34 and 9,451.58 is: 13,042.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806.96 : 17,672.34 = 9,451.58 : x
  2. Step 2: Convert to fraction form
    12,806.96/17,672.34 = 9,451.58/x
  3. Step 3: Cross multiply
    12,806.96x = 17,672.34 × 9,451.58
  4. Step 4: Simplify right side
    12,806.96x = 167,031,535.30
  5. Step 5: Solve for x
    x = 167,031,535.30/12,806.96
  6. Step 6: Final answer
    x = 13,042.25

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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.