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Finding the Fourth Proportional to 5,633.47, 8,450.69 and 1,473.47

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Solution

The fourth proportional to 5,633.47, 8,450.69 and 1,473.47 is: 2,210.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.47 : 8,450.69 = 1,473.47 : x
  2. Step 2: Convert to fraction form
    5,633.47/8,450.69 = 1,473.47/x
  3. Step 3: Cross multiply
    5,633.47x = 8,450.69 × 1,473.47
  4. Step 4: Simplify right side
    5,633.47x = 12,451,830.83
  5. Step 5: Solve for x
    x = 12,451,830.83/5,633.47
  6. Step 6: Final answer
    x = 2,210.33

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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.