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Finding the Fourth Proportional to 12,832.75, 17,709.20 and 7,243.75

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Solution

The fourth proportional to 12,832.75, 17,709.20 and 7,243.75 is: 9,996.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.75 : 17,709.20 = 7,243.75 : x
  2. Step 2: Convert to fraction form
    12,832.75/17,709.20 = 7,243.75/x
  3. Step 3: Cross multiply
    12,832.75x = 17,709.20 × 7,243.75
  4. Step 4: Simplify right side
    12,832.75x = 128,281,017.50
  5. Step 5: Solve for x
    x = 128,281,017.50/12,832.75
  6. Step 6: Final answer
    x = 9,996.38

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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.