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Finding the Fourth Proportional to 12,402.80, 18,593.40 and 7,467.20

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Solution

The fourth proportional to 12,402.80, 18,593.40 and 7,467.20 is: 11,194.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,402.80 : 18,593.40 = 7,467.20 : x
  2. Step 2: Convert to fraction form
    12,402.80/18,593.40 = 7,467.20/x
  3. Step 3: Cross multiply
    12,402.80x = 18,593.40 × 7,467.20
  4. Step 4: Simplify right side
    12,402.80x = 138,840,636.48
  5. Step 5: Solve for x
    x = 138,840,636.48/12,402.80
  6. Step 6: Final answer
    x = 11,194.30

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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.