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Finding the Fourth Proportional to 7,694.51, 11,530.62 and 4,181.54

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Solution

The fourth proportional to 7,694.51, 11,530.62 and 4,181.54 is: 6,266.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.51 : 11,530.62 = 4,181.54 : x
  2. Step 2: Convert to fraction form
    7,694.51/11,530.62 = 4,181.54/x
  3. Step 3: Cross multiply
    7,694.51x = 11,530.62 × 4,181.54
  4. Step 4: Simplify right side
    7,694.51x = 48,215,691.10
  5. Step 5: Solve for x
    x = 48,215,691.10/7,694.51
  6. Step 6: Final answer
    x = 6,266.25

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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.