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Finding the Fourth Proportional to 12,832.92, 17,709.48 and 7,527.84

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Solution

The fourth proportional to 12,832.92, 17,709.48 and 7,527.84 is: 10,388.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.92 : 17,709.48 = 7,527.84 : x
  2. Step 2: Convert to fraction form
    12,832.92/17,709.48 = 7,527.84/x
  3. Step 3: Cross multiply
    12,832.92x = 17,709.48 × 7,527.84
  4. Step 4: Simplify right side
    12,832.92x = 133,314,131.92
  5. Step 5: Solve for x
    x = 133,314,131.92/12,832.92
  6. Step 6: Final answer
    x = 10,388.45

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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.