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Finding the Fourth Proportional to 11,832.03, 17,742.92 and 6,284.16

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Solution

The fourth proportional to 11,832.03, 17,742.92 and 6,284.16 is: 9,423.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832.03 : 17,742.92 = 6,284.16 : x
  2. Step 2: Convert to fraction form
    11,832.03/17,742.92 = 6,284.16/x
  3. Step 3: Cross multiply
    11,832.03x = 17,742.92 × 6,284.16
  4. Step 4: Simplify right side
    11,832.03x = 111,499,316.73
  5. Step 5: Solve for x
    x = 111,499,316.73/11,832.03
  6. Step 6: Final answer
    x = 9,423.52

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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.