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Finding the Fourth Proportional to 12,742.92, 17,593.80 and 9,753.42

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Solution

The fourth proportional to 12,742.92, 17,593.80 and 9,753.42 is: 13,466.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,742.92 : 17,593.80 = 9,753.42 : x
  2. Step 2: Convert to fraction form
    12,742.92/17,593.80 = 9,753.42/x
  3. Step 3: Cross multiply
    12,742.92x = 17,593.80 × 9,753.42
  4. Step 4: Simplify right side
    12,742.92x = 171,599,720.80
  5. Step 5: Solve for x
    x = 171,599,720.80/12,742.92
  6. Step 6: Final answer
    x = 13,466.28

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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.