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Finding the Fourth Proportional to 12,757.92, 17,607.60 and 9,232.80

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Solution

The fourth proportional to 12,757.92, 17,607.60 and 9,232.80 is: 12,742.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,757.92 : 17,607.60 = 9,232.80 : x
  2. Step 2: Convert to fraction form
    12,757.92/17,607.60 = 9,232.80/x
  3. Step 3: Cross multiply
    12,757.92x = 17,607.60 × 9,232.80
  4. Step 4: Simplify right side
    12,757.92x = 162,567,449.28
  5. Step 5: Solve for x
    x = 162,567,449.28/12,757.92
  6. Step 6: Final answer
    x = 12,742.47

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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.