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Finding the Fourth Proportional to 11,968.92, 17,953.52 and 3,203.72

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Solution

The fourth proportional to 11,968.92, 17,953.52 and 3,203.72 is: 4,805.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,968.92 : 17,953.52 = 3,203.72 : x
  2. Step 2: Convert to fraction form
    11,968.92/17,953.52 = 3,203.72/x
  3. Step 3: Cross multiply
    11,968.92x = 17,953.52 × 3,203.72
  4. Step 4: Simplify right side
    11,968.92x = 57,518,051.09
  5. Step 5: Solve for x
    x = 57,518,051.09/11,968.92
  6. Step 6: Final answer
    x = 4,805.62

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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.