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Finding the Fourth Proportional to 4,003.96, 6,005.94 and 1,230.64

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Solution

The fourth proportional to 4,003.96, 6,005.94 and 1,230.64 is: 1,845.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,003.96 : 6,005.94 = 1,230.64 : x
  2. Step 2: Convert to fraction form
    4,003.96/6,005.94 = 1,230.64/x
  3. Step 3: Cross multiply
    4,003.96x = 6,005.94 × 1,230.64
  4. Step 4: Simplify right side
    4,003.96x = 7,391,150.00
  5. Step 5: Solve for x
    x = 7,391,150.00/4,003.96
  6. Step 6: Final answer
    x = 1,845.96

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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.