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Finding the Fourth Proportional to 4,644.82, 6,966.42 and 1,832.91

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Solution

The fourth proportional to 4,644.82, 6,966.42 and 1,832.91 is: 2,749.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.82 : 6,966.42 = 1,832.91 : x
  2. Step 2: Convert to fraction form
    4,644.82/6,966.42 = 1,832.91/x
  3. Step 3: Cross multiply
    4,644.82x = 6,966.42 × 1,832.91
  4. Step 4: Simplify right side
    4,644.82x = 12,768,820.88
  5. Step 5: Solve for x
    x = 12,768,820.88/4,644.82
  6. Step 6: Final answer
    x = 2,749.05

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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.