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Finding the Fourth Proportional to 4,753.14, 7,129.04 and 1,633.10

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Solution

The fourth proportional to 4,753.14, 7,129.04 and 1,633.10 is: 2,449.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.14 : 7,129.04 = 1,633.10 : x
  2. Step 2: Convert to fraction form
    4,753.14/7,129.04 = 1,633.10/x
  3. Step 3: Cross multiply
    4,753.14x = 7,129.04 × 1,633.10
  4. Step 4: Simplify right side
    4,753.14x = 11,642,435.22
  5. Step 5: Solve for x
    x = 11,642,435.22/4,753.14
  6. Step 6: Final answer
    x = 2,449.42

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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.